Pub Date : 2024-02-02DOI: 10.1142/s0219887824501469
Chanyuan Wang, Reem Altuijri, A. Abdel‐Aty, K. Nisar, Mostafa M. A. Khater
{"title":"Plasma-Infused Solitary Waves: Unraveling Novel Dynamics with the Camassa-Holm Equation","authors":"Chanyuan Wang, Reem Altuijri, A. Abdel‐Aty, K. Nisar, Mostafa M. A. Khater","doi":"10.1142/s0219887824501469","DOIUrl":"https://doi.org/10.1142/s0219887824501469","url":null,"abstract":"","PeriodicalId":507994,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139870714","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 : 2024-01-31DOI: 10.1142/S0219887824400152
V. Gerdjikov, G. Grahovski
The paper is devoted to $N$-wave equations with constant boundary conditions related to symplectic Lie algebras. We study the spectral properties of a class of Lax operators $L$, whose potentials $Q(x,t)$ tend to constants $Q_pm$ for $xto pm infty$. For special choices of $Q_pm$ we outline the spectral properties of $L$, the direct scattering transform and construct its fundamental analytic solutions. We generalise Wronskian relations for the case of CBC -- this allows us to analyse the mapping between the scattering data and the $x$-derivative of the potential $Q_x$. Next, using the Wronskian relations we derive the dispersion laws for the $N$-wave hierarchy and describe the NLEE related to the given Lax operator.
{"title":"On the N-waves hierarchy with constant boundary conditions spectral properties","authors":"V. Gerdjikov, G. Grahovski","doi":"10.1142/S0219887824400152","DOIUrl":"https://doi.org/10.1142/S0219887824400152","url":null,"abstract":"The paper is devoted to $N$-wave equations with constant boundary conditions related to symplectic Lie algebras. We study the spectral properties of a class of Lax operators $L$, whose potentials $Q(x,t)$ tend to constants $Q_pm$ for $xto pm infty$. For special choices of $Q_pm$ we outline the spectral properties of $L$, the direct scattering transform and construct its fundamental analytic solutions. We generalise Wronskian relations for the case of CBC -- this allows us to analyse the mapping between the scattering data and the $x$-derivative of the potential $Q_x$. Next, using the Wronskian relations we derive the dispersion laws for the $N$-wave hierarchy and describe the NLEE related to the given Lax operator.","PeriodicalId":507994,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140477894","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 : 2024-01-26DOI: 10.1142/s021988782450141x
Uday Chand De, Arpan Sardar, F. Mofarreh
{"title":"Characterizations of η-ρ-Einstein solitons in spacetimes and f(ℛ)-gravity","authors":"Uday Chand De, Arpan Sardar, F. Mofarreh","doi":"10.1142/s021988782450141x","DOIUrl":"https://doi.org/10.1142/s021988782450141x","url":null,"abstract":"","PeriodicalId":507994,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139594162","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 : 2024-01-19DOI: 10.1142/s0219887824501408
G. C. Assolohou, C. Ainamon, C. D. Akowanou, M. Ganiou, M. Houndjo
{"title":"Generating f(R,𝒢) gravity from Type IV singular bouncing cosmology","authors":"G. C. Assolohou, C. Ainamon, C. D. Akowanou, M. Ganiou, M. Houndjo","doi":"10.1142/s0219887824501408","DOIUrl":"https://doi.org/10.1142/s0219887824501408","url":null,"abstract":"","PeriodicalId":507994,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139525725","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 : 2024-01-18DOI: 10.1142/s0219887824501330
Sanjeeda Sultana, S. Chattopadhyay
{"title":"Intermediate inflation through Nojiri-Odintsov holographic dark fluid with the cosmological settings of Kaniadakis","authors":"Sanjeeda Sultana, S. Chattopadhyay","doi":"10.1142/s0219887824501330","DOIUrl":"https://doi.org/10.1142/s0219887824501330","url":null,"abstract":"","PeriodicalId":507994,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139615242","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 : 2024-01-18DOI: 10.1142/S021988782450138X
M. Koussour, N. Myrzakulov
We propose a specialized parameterization for the Hubble parameter, inspired by $Lambda$CDM cosmology, to investigate the cosmic expansion history of the Universe. This parameterization is employed to analyze the Universe's late-time behavior within the context of $Q^n$ gravity, where $Q$ represents non-metricity. By using data from 57 Hubble data points, 1048 supernova (SNe) data points, and 6 baryon acoustic oscillation (BAO) data points, we determine the optimal values for the model parameters. Additionally, we explore three distinct cosmological models based on the parameter $n$, specifically when it takes on the values of $0.55$, $1.5$, and $2.0$. The results of our analysis indicate that our proposed parameterization, along with the associated models for different values of $n$, predicts an accelerated cosmic expansion phase.
{"title":"Cosmic expansion history analysis with Hubble parametrization in Qn gravity","authors":"M. Koussour, N. Myrzakulov","doi":"10.1142/S021988782450138X","DOIUrl":"https://doi.org/10.1142/S021988782450138X","url":null,"abstract":"We propose a specialized parameterization for the Hubble parameter, inspired by $Lambda$CDM cosmology, to investigate the cosmic expansion history of the Universe. This parameterization is employed to analyze the Universe's late-time behavior within the context of $Q^n$ gravity, where $Q$ represents non-metricity. By using data from 57 Hubble data points, 1048 supernova (SNe) data points, and 6 baryon acoustic oscillation (BAO) data points, we determine the optimal values for the model parameters. Additionally, we explore three distinct cosmological models based on the parameter $n$, specifically when it takes on the values of $0.55$, $1.5$, and $2.0$. The results of our analysis indicate that our proposed parameterization, along with the associated models for different values of $n$, predicts an accelerated cosmic expansion phase.","PeriodicalId":507994,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139614875","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 : 2024-01-18DOI: 10.1142/s0219887824400103
Daniele Iannotti, A. Hamma
{"title":"Geometric methods in quantum information and entanglement variational principle","authors":"Daniele Iannotti, A. Hamma","doi":"10.1142/s0219887824400103","DOIUrl":"https://doi.org/10.1142/s0219887824400103","url":null,"abstract":"","PeriodicalId":507994,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139615352","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 : 2024-01-18DOI: 10.1142/s0219887824501378
Latévi M. Lawson, K. Amouzouvi, K. Sodoga, K. Beltako
{"title":"Position-dependent mass from noncommutativity and its statistical descriptions","authors":"Latévi M. Lawson, K. Amouzouvi, K. Sodoga, K. Beltako","doi":"10.1142/s0219887824501378","DOIUrl":"https://doi.org/10.1142/s0219887824501378","url":null,"abstract":"","PeriodicalId":507994,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139614157","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 : 2024-01-18DOI: 10.1142/s0219887824501354
C. Perelman
A brief introduction of the Extended Relativity Theory in Clifford Spaces ( C - space) paves the way to the explicit construction of the generalized relativistic transformations of the Clifford multivector-valued coordinates in C -spaces. The most general transformations furnish a full mixing of the grades of the multivector-valued coordinates. The transformations of the multivector-valued momenta follow leading to an invariant generalized mass M in C -spaces which differs from m . No longer the proper mass appearing in the relativistic dispersion relation E 2 − ⃗p · ⃗p = m 2 remains invariant under the generalized relativistic transformations. It is argued how this finding might shed some light into the cosmological constant problem, dark energy, and dark matter. We finalize with some concluding remarks about extending these transformations to phase spaces and about Born reciprocal relativity. An appendix is included with the most general (anti) commutators of the Clifford algebra multivector generators.
对克利福德空间（C 空间）中的广义相对论的简要介绍，为明确构建 C 空间中克利福德多矢量值坐标的广义相对论变换铺平了道路。最一般的变换提供了多矢量值坐标等级的全面混合。多矢量值矩的变换会导致 C 空间中的不变广义质量 M，它与 m 不同。在广义相对论变换下，相对论色散关系 E 2 - ⃗p - ⃗p = m 2 中出现的适当质量不再保持不变。我们论证了这一发现如何可能给宇宙常数问题、暗能量和暗物质带来一些启示。最后，我们对将这些变换扩展到相空间和玻恩互易相对论作了一些总结性评论。附录中包含了克利福德代数多向量生成器的最一般（反）换元。
{"title":"Generalized Relativistic Transformations in Clifford Spaces and their Physical Implications","authors":"C. Perelman","doi":"10.1142/s0219887824501354","DOIUrl":"https://doi.org/10.1142/s0219887824501354","url":null,"abstract":"A brief introduction of the Extended Relativity Theory in Clifford Spaces ( C - space) paves the way to the explicit construction of the generalized relativistic transformations of the Clifford multivector-valued coordinates in C -spaces. The most general transformations furnish a full mixing of the grades of the multivector-valued coordinates. The transformations of the multivector-valued momenta follow leading to an invariant generalized mass M in C -spaces which differs from m . No longer the proper mass appearing in the relativistic dispersion relation E 2 − ⃗p · ⃗p = m 2 remains invariant under the generalized relativistic transformations. It is argued how this finding might shed some light into the cosmological constant problem, dark energy, and dark matter. We finalize with some concluding remarks about extending these transformations to phase spaces and about Born reciprocal relativity. An appendix is included with the most general (anti) commutators of the Clifford algebra multivector generators.","PeriodicalId":507994,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139614277","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 : 2024-01-18DOI: 10.1142/s0219887824400127
Branko Dragovich
{"title":"A Closed Universe with Hybrid Nonlocality","authors":"Branko Dragovich","doi":"10.1142/s0219887824400127","DOIUrl":"https://doi.org/10.1142/s0219887824400127","url":null,"abstract":"","PeriodicalId":507994,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139616071","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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