Pub Date : 2024-04-25DOI: 10.1088/1572-9494/ad432d
Y. Wang, Li-Guang Jiao, Aihua Liu, Yew Kam Ho, Stephan Fritzsche
We perform benchmark calculations of the p-wave resonances in the exponentially cosine screened Coulomb potential using the uniform complex-scaling generalized pseudospectral method. The present results show significant improvement in the calculation accuracy compared to previous predictions and correct the misidentification of resonance electron configuration in previous works. It is found that the resonance states approximately follow a n^2-scaling law which is similar to the bound counterparts. The birth of new resonance would distort the trajectory of an adjacent higher-lying resonance.
我们使用均匀复缩放广义伪谱法对指数余弦屏蔽库仑势中的 p 波共振进行了基准计算。与之前的预测相比，本结果表明计算精度有了显著提高，并纠正了之前工作中对共振电子构型的错误识别。研究发现，共振态近似遵循 n^2 缩放规律，这与束缚态类似。新共振的产生会扭曲相邻高位共振的轨迹。
{"title":"p-Wave resonances in the exponential cosine screened Coulomb potential","authors":"Y. Wang, Li-Guang Jiao, Aihua Liu, Yew Kam Ho, Stephan Fritzsche","doi":"10.1088/1572-9494/ad432d","DOIUrl":"https://doi.org/10.1088/1572-9494/ad432d","url":null,"abstract":"\u0000 We perform benchmark calculations of the p-wave resonances in the exponentially cosine screened Coulomb potential using the uniform complex-scaling generalized pseudospectral method. The present results show significant improvement in the calculation accuracy compared to previous predictions and correct the misidentification of resonance electron configuration in previous works. It is found that the resonance states approximately follow a n^2-scaling law which is similar to the bound counterparts. The birth of new resonance would distort the trajectory of an adjacent higher-lying resonance.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":"37 25","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140657509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-24DOI: 10.1088/1572-9494/ad426f
Xiaolan Meng, Bolun Hu, Yi-Bo Yang
We present the lattice QCD simulation with the 2+1+1 flavor full QCD ensembles using near-physical quark masses and different spatial sizes $L$, at $asim$ 0.055 ;fm. The results show that the scalar and pesudoscalar 2-point correlator with the valence pion mass of approximately 230 MeV become degenerated at $Lle 1.0$ ;fm, and such an observation suggests that the spontaneous chiral symmetry breaking disappears effectively there. At the same time, the mass gap between the nucleon and pion masses remains larger then $Lambda_{rm QCD}$ at the entire $Lin[0.2,0.7]$ fm range.
{"title":"Observations on spontaneous chiral symmetry breaking and mass gap of QCD in finite volume","authors":"Xiaolan Meng, Bolun Hu, Yi-Bo Yang","doi":"10.1088/1572-9494/ad426f","DOIUrl":"https://doi.org/10.1088/1572-9494/ad426f","url":null,"abstract":"\u0000 We present the lattice QCD simulation with the 2+1+1 flavor full QCD ensembles using near-physical quark masses and different spatial sizes $L$, at $asim$ 0.055 ;fm. The results show that the scalar and pesudoscalar 2-point correlator with the valence pion mass of approximately 230 MeV become degenerated at $Lle 1.0$ ;fm, and such an observation suggests that the spontaneous chiral symmetry breaking disappears effectively there. At the same time, the mass gap between the nucleon and pion masses remains larger then $Lambda_{rm QCD}$ at the entire $Lin[0.2,0.7]$ fm range.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":"46 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140664925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-19DOI: 10.1088/1572-9494/ad4090
Changchun Feng, Lin Chen
Quantifying entanglement measures for quantum states with unknown density matrices is a chal lenging task. Machine learning offers a new perspective to address this problem. By training machine learning models using experimentally measurable data, we can predict the target entan glement measures. In this study, we compare various machine learning models and find that the linear regression and stack models perform better than others. We investigate the model’s impact on quantum states across different dimensions and find that higher-dimensional quantum states yield better results. Additionally, we investigate which measurable data has better predictive power for target entanglement measures. Using correlation analysis and principal component analysis, we demonstrate that quantum moments exhibit a stronger correlation with coherent information among these data features.
{"title":"Quantifying quantum entanglement via machine learning models","authors":"Changchun Feng, Lin Chen","doi":"10.1088/1572-9494/ad4090","DOIUrl":"https://doi.org/10.1088/1572-9494/ad4090","url":null,"abstract":"\u0000 Quantifying entanglement measures for quantum states with unknown density matrices is a chal lenging task. Machine learning offers a new perspective to address this problem. By training machine learning models using experimentally measurable data, we can predict the target entan glement measures. In this study, we compare various machine learning models and find that the linear regression and stack models perform better than others. We investigate the model’s impact on quantum states across different dimensions and find that higher-dimensional quantum states yield better results. Additionally, we investigate which measurable data has better predictive power for target entanglement measures. Using correlation analysis and principal component analysis, we demonstrate that quantum moments exhibit a stronger correlation with coherent information among these data features.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":" 21","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140683586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-17DOI: 10.1088/1572-9494/ad3f98
A. Malik, Ayesha Almas, T. Naz, Rubab Manzoor, M. Z. Bhatti
The objective of present work is to deal with physical features of anisotropic compact objects within the framework of f(G) modified theory of gravity. For our present work, the Einstein- Maxwell equations defined under the impression of charge by utilizing the Krori-Barua metric i.e, λ(r) = Xr2 + Y and β(r) = Zr2, described by spherically symmetric space-time. To accomplish the desired objective, we calculate the undefined constrains utilized within the stellar debate by using the comparison method of interior and exterior spacetime while Bardeen geometry consider as an exterior. Further, to analyze the stellar configuration of Bardeen compact stars by assuming viable f(G) models including logarithmic corrected, we establish some expressions for examining the components of pressure and density, respectively. We address the energy conditions to verify our model’s viability for the various star candidates. Some other physical features, such as equilibrium condition, equation of state parameters, adiabatic index, stability analysis, mass function, surface Redshift and compactness factor, have been investigated. Conclusively, all the obtained results shows that the system under consideration is physically stable, free from singularity, and viable. Keywords: Bardeen compact stars, f(G) modified gravity, Krori-Barua potential.
{"title":"Detailed Analysis of Relativistic Confi guration of Bardeen Anisotropic Spheres inModi fied f(G) Gravity","authors":"A. Malik, Ayesha Almas, T. Naz, Rubab Manzoor, M. Z. Bhatti","doi":"10.1088/1572-9494/ad3f98","DOIUrl":"https://doi.org/10.1088/1572-9494/ad3f98","url":null,"abstract":"\u0000 The objective of present work is to deal with physical features of anisotropic compact objects within the framework of f(G) modified theory of gravity. For our present work, the Einstein- Maxwell equations defined under the impression of charge by utilizing the Krori-Barua metric i.e, λ(r) = Xr2 + Y and β(r) = Zr2, described by spherically symmetric space-time. To accomplish the desired objective, we calculate the undefined constrains utilized within the stellar debate by using the comparison method of interior and exterior spacetime while Bardeen geometry consider as an exterior. Further, to analyze the stellar configuration of Bardeen compact stars by assuming viable f(G) models including logarithmic corrected, we establish some expressions for examining the components of pressure and density, respectively. We address the energy conditions to verify our model’s viability for the various star candidates. Some other physical features, such as equilibrium condition, equation of state parameters, adiabatic index, stability analysis, mass function, surface Redshift and compactness factor, have been investigated. Conclusively, all the obtained results shows that the system under consideration is physically stable, free from singularity, and viable. Keywords: Bardeen compact stars, f(G) modified gravity, Krori-Barua potential.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":" 24","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140691698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-15DOI: 10.1088/1572-9494/ad3e66
Yuan Guo, Muhammad Idrees, Ji Lin, Hui-jun Li
We present a flexible manipulation and control of solitons via Bose-Einstein condensate. In the presence of Rashba spin-orbit coupling and repulsive interactions within a harmonic potential, our investigation reveals the numerical local solutions within the system. By manipulating the strength of repulsive interactions and adjusting spin-orbit coupling while maintaining a zero-frequency rotation, diverse soliton structures emerge within the system. These include plane-wave solitons, two distinct types of stripe solitons, and odd petal solitons with both single and double layers. The stability of these solitons is intricately dependent on the varying strength of spin-orbit coupling. Specifically, stripe solitons can maintain stable existence within regions characterized by enhanced spin-orbit coupling while petal solitons are unable to sustain stable existence under similar conditions. When rotational frequency is introduced to the system, solitons undergo a transition from stripe solitons to a vortex array characterized by sustained rotation. The rotational directions of clockwise and counterclockwise are non-equivalent owing to spin-orbit coupling. As a result, the properties of vortex solitons exhibit significant variation and are capable of maintaining a stable existence in the presence of repulsive interactions.
{"title":"Stable stripe and vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates","authors":"Yuan Guo, Muhammad Idrees, Ji Lin, Hui-jun Li","doi":"10.1088/1572-9494/ad3e66","DOIUrl":"https://doi.org/10.1088/1572-9494/ad3e66","url":null,"abstract":"\u0000 We present a flexible manipulation and control of solitons via Bose-Einstein condensate. In the presence of Rashba spin-orbit coupling and repulsive interactions within a harmonic potential, our investigation reveals the numerical local solutions within the system. By manipulating the strength of repulsive interactions and adjusting spin-orbit coupling while maintaining a zero-frequency rotation, diverse soliton structures emerge within the system. These include plane-wave solitons, two distinct types of stripe solitons, and odd petal solitons with both single and double layers. The stability of these solitons is intricately dependent on the varying strength of spin-orbit coupling. Specifically, stripe solitons can maintain stable existence within regions characterized by enhanced spin-orbit coupling while petal solitons are unable to sustain stable existence under similar conditions. When rotational frequency is introduced to the system, solitons undergo a transition from stripe solitons to a vortex array characterized by sustained rotation. The rotational directions of clockwise and counterclockwise are non-equivalent owing to spin-orbit coupling. As a result, the properties of vortex solitons exhibit significant variation and are capable of maintaining a stable existence in the presence of repulsive interactions.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":"13 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140700854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-12DOI: 10.1088/1572-9494/ad3dd9
Wen-Xiu Ma
This paper aims to discuss a fourth-order matrix spectral problem involving four potentials and to generate an associated Liouville integrable hierarchy via the zero curvature formulation. A bi-Hamiltonian formulation is furnished by applying the trace identity and a recursion operator is explicitly worked out, which exhibits the Liouville integrability of each model in the resulting hierarchy. Two specific examples, consisting of novel generalized combined nonlinear Schroedinger equations and modified Korteweg-de Vries equations, are given.
{"title":"A combined Liouville integrable hierarchy associated with a fourth-order matrix spectral problem","authors":"Wen-Xiu Ma","doi":"10.1088/1572-9494/ad3dd9","DOIUrl":"https://doi.org/10.1088/1572-9494/ad3dd9","url":null,"abstract":"\u0000 This paper aims to discuss a fourth-order matrix spectral problem involving four potentials and to generate an associated Liouville integrable hierarchy via the zero curvature formulation. A bi-Hamiltonian formulation is furnished by applying the trace identity and a recursion operator is explicitly worked out, which exhibits the Liouville integrability of each model in the resulting hierarchy. Two specific examples, consisting of novel generalized combined nonlinear Schroedinger equations and modified Korteweg-de Vries equations, are given.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":"7 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140711956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-10DOI: 10.1088/1572-9494/ad3cc3
Yu Zhang
The bootstrap method which has been studied under many quantum mechanical models turns out feasible in microcanonical ensemble as well. While the approach in [Y. Nakayama, Modern Physics Letters A 37, 10.1142/s0217732322500547 (2022)] produces a sector when energy is negative, in this paper we report a method that has stronger constraints and results in a smaller region. We also study other models to demonstrate the effectiveness of our method.
在许多量子力学模型下研究过的自举法在微观经典合集中也是可行的。虽然[Y. Nakayama, Modern Physics Letters A 37, 10.1142/s0217732322500547 (2022)]中的方法会在能量为负时产生一个扇区，但在本文中，我们报告了一种具有更强约束且结果区域更小的方法。我们还研究了其他模型，以证明我们方法的有效性。
{"title":"Microscopic ensemble bootstrap in phase space","authors":"Yu Zhang","doi":"10.1088/1572-9494/ad3cc3","DOIUrl":"https://doi.org/10.1088/1572-9494/ad3cc3","url":null,"abstract":"\u0000 The bootstrap method which has been studied under many quantum mechanical models turns out feasible in microcanonical ensemble as well. While the approach in [Y. Nakayama, Modern Physics Letters A 37, 10.1142/s0217732322500547 (2022)] produces a sector when energy is negative, in this paper we report a method that has stronger constraints and results in a smaller region. We also study other models to demonstrate the effectiveness of our method.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140716854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-10DOI: 10.1088/1572-9494/ad3cc4
Haryanto Siahaan
In this study, we investigate ModMax electrodynamics localized within the RS-II and DGP branes, deriving corresponding 3-brane spacetime solutions that conform to the effective Einstein equations in each specific scenario. We construct solutions for charged black holes within the effective Einstein equation framework in both the braneworld scenarios. The examination explores the trajectories of charged objects in this spacetime, underscoring the significance of the nonlinear parameter. Our analysis uncovers that, similar to the prior ModMax black hole investigation, the nonlinear parameter plays a pivotal role in suppressing the effective charge of the black hole, owing to its definite positive value.
{"title":"Braneworld black holes with ModMax electrodynamics on the brane","authors":"Haryanto Siahaan","doi":"10.1088/1572-9494/ad3cc4","DOIUrl":"https://doi.org/10.1088/1572-9494/ad3cc4","url":null,"abstract":"\u0000 In this study, we investigate ModMax electrodynamics localized within the RS-II and DGP branes, deriving corresponding 3-brane spacetime solutions that conform to the effective Einstein equations in each specific scenario. We construct solutions for charged black holes within the effective Einstein equation framework in both the braneworld scenarios. The examination explores the trajectories of charged objects in this spacetime, underscoring the significance of the nonlinear parameter. Our analysis uncovers that, similar to the prior ModMax black hole investigation, the nonlinear parameter plays a pivotal role in suppressing the effective charge of the black hole, owing to its definite positive value.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":"412 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140719434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-07DOI: 10.1088/1572-9494/ad3b8c
Ersin Kantar
This study explores the presence of diverse phase diagrams and hysteresis characteristics, as well as their dependencies on segment dilution, in an Ising-type core/shell segmented nanostructure. The magnetic and hysteretic behaviors of the nanostructure were carefully investigated by employing the effective-field theory, and its respective diluted parameters. The phase diagrams reveal characteristic phenomena that are influenced by the dilution parameters. Specifically, this study examined the variations in phase transitions and tricritical points by altering the dilution and physical parameters of the segments. The investigation also encompasses an examination of the hysteresis characteristics, including the hysteresis loop, coercivity and remanence, in relation to the segment dilution dependence of the segmented nanowire. It was discovered that as the temperature rises, the hysteresis loop areas diminish. However, intriguingly, at specific dilution and crystal area values, the hysteresis loop areas exhibit an augmentation.
{"title":"The Impact of Segment Dilution on the Magnetic and Hysteretic Properties of Ferrimagnetic (1/2 -1) Segmented Ising Nanowire","authors":"Ersin Kantar","doi":"10.1088/1572-9494/ad3b8c","DOIUrl":"https://doi.org/10.1088/1572-9494/ad3b8c","url":null,"abstract":"\u0000 This study explores the presence of diverse phase diagrams and hysteresis characteristics, as well as their dependencies on segment dilution, in an Ising-type core/shell segmented nanostructure. The magnetic and hysteretic behaviors of the nanostructure were carefully investigated by employing the effective-field theory, and its respective diluted parameters. The phase diagrams reveal characteristic phenomena that are influenced by the dilution parameters. Specifically, this study examined the variations in phase transitions and tricritical points by altering the dilution and physical parameters of the segments. The investigation also encompasses an examination of the hysteresis characteristics, including the hysteresis loop, coercivity and remanence, in relation to the segment dilution dependence of the segmented nanowire. It was discovered that as the temperature rises, the hysteresis loop areas diminish. However, intriguingly, at specific dilution and crystal area values, the hysteresis loop areas exhibit an augmentation.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":"6 25","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140732636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-07DOI: 10.1088/1572-9494/ad3b8b
Xiazhi Hao, Sen-uye Lou
This manuscript introduces a modified formal variable separation approach, showcasing a systematic and notably straightforward methodology for analyzing the B-type Kadomtsev-Petviashvili equation. Through the application of this approach, we successfully ascertain decomposition solutions, Backlund transformations, the Lax pair, and the linear superposition solution associated with the aforementioned equation. Furthermore, we expand the utilization of this technique to the C-type Kadomtsev-Petviashvili equation, leading to the derivation of decomposition solutions, Backlund transformations, and the Lax pair specific to this equation. The results obtained not only underscore the efficacy of the proposed approach but also highlight its potential in offering a profound comprehension of integrable behaviors in nonlinear systems. Moreover, the approach establishes an efficient framework for establishing interrelations between diverse systems.
本手稿介绍了一种改进的形式变量分离法，展示了一种系统而显著直接的方法来分析 B 型卡多姆采夫-彼得维亚什维利方程。通过应用这种方法，我们成功地确定了与上述方程相关的分解解、Backlund 变换、Lax 对和线性叠加解。此外，我们还将这一技术的应用扩展到 C 型卡多姆采夫-彼得维亚什维利方程，从而推导出该方程特有的分解解、Backlund 变换和 Lax 对。所获得的结果不仅强调了所提方法的有效性，而且突出了其在深刻理解非线性系统中可积分行为方面的潜力。此外，该方法还为建立不同系统之间的相互关系建立了一个有效的框架。
{"title":"Decomposition solutions and Backlund transformations of the BKP and CKP equations","authors":"Xiazhi Hao, Sen-uye Lou","doi":"10.1088/1572-9494/ad3b8b","DOIUrl":"https://doi.org/10.1088/1572-9494/ad3b8b","url":null,"abstract":"\u0000 This manuscript introduces a modified formal variable separation approach, showcasing a systematic and notably straightforward methodology for analyzing the B-type Kadomtsev-Petviashvili equation. Through the application of this approach, we successfully ascertain decomposition solutions, Backlund transformations, the Lax pair, and the linear superposition solution associated with the aforementioned equation. Furthermore, we expand the utilization of this technique to the C-type Kadomtsev-Petviashvili equation, leading to the derivation of decomposition solutions, Backlund transformations, and the Lax pair specific to this equation. The results obtained not only underscore the efficacy of the proposed approach but also highlight its potential in offering a profound comprehension of integrable behaviors in nonlinear systems. Moreover, the approach establishes an efficient framework for establishing interrelations between diverse systems.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":"46 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140734054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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