Pub Date : 2026-03-11DOI: 10.1016/j.aml.2026.109931
Hongyong Wang, Chunhua Ou
{"title":"Wave speed selection of a Lotka–Volterra competition system with hybrid dispersals and seasonal succession","authors":"Hongyong Wang, Chunhua Ou","doi":"10.1016/j.aml.2026.109931","DOIUrl":"https://doi.org/10.1016/j.aml.2026.109931","url":null,"abstract":"","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"22 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147447574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-10DOI: 10.1016/j.aml.2026.109928
Fuchang Gao
{"title":"Fast and stable root-finding using clipped power interpolations","authors":"Fuchang Gao","doi":"10.1016/j.aml.2026.109928","DOIUrl":"https://doi.org/10.1016/j.aml.2026.109928","url":null,"abstract":"","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"93 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147447571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-09DOI: 10.1016/j.aml.2026.109926
Jianzhong Zhang, Ying Sui, Xiliang Li
In this paper, we study the Cauchy problem of the compressible Euler system with damping and establish the global-in-time well-posedness in Lp-type critical Besov spaces for 1≤p<2. To achieve it, a new product estimate is established in L2-Lp hybrid Besov spaces.
{"title":"The global well-posedness of the multi-dimensional compressible Euler system with damping in the [formula omitted] critical Besov spaces for [formula omitted]","authors":"Jianzhong Zhang, Ying Sui, Xiliang Li","doi":"10.1016/j.aml.2026.109926","DOIUrl":"https://doi.org/10.1016/j.aml.2026.109926","url":null,"abstract":"In this paper, we study the Cauchy problem of the compressible Euler system with damping and establish the global-in-time well-posedness in <mml:math altimg=\"si5.svg\" display=\"inline\"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-type critical Besov spaces for <mml:math altimg=\"si2.svg\" display=\"inline\"><mml:mrow><mml:mn>1</mml:mn><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">≤</mml:mo><mml:mi>p</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\"><</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>. To achieve it, a new product estimate is established in <mml:math altimg=\"si3.svg\" display=\"inline\"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>-<mml:math altimg=\"si5.svg\" display=\"inline\"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math> hybrid Besov spaces.","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"52 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147393440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-01Epub Date: 2025-11-25DOI: 10.1016/j.aml.2025.109832
Xudong Shang
In this paper, we consider the following Choquard equation involving the -Laplacian operator where , , and is the Riesz potential of order . By using the Ekeland variational principle and the implicit function theorem, we obtain the problem has a radial nodal solution for . For the case of , we employ the least energy radial nodal solution of pass to a limit procedure to obtain our result. This article extends some results of related literatures.
{"title":"Nodal solutions for a Choquard equation involving the p-Laplacian operator","authors":"Xudong Shang","doi":"10.1016/j.aml.2025.109832","DOIUrl":"10.1016/j.aml.2025.109832","url":null,"abstract":"<div><div>In this paper, we consider the following Choquard equation involving the <span><math><mi>p</mi></math></span>-Laplacian operator <span><span><span><math><mrow><mo>−</mo><msub><mrow><mi>Δ</mi></mrow><mrow><mi>p</mi></mrow></msub><mi>u</mi><mo>+</mo><msup><mrow><mrow><mo>|</mo><mi>u</mi><mo>|</mo></mrow></mrow><mrow><mi>p</mi><mo>−</mo><mn>2</mn></mrow></msup><mi>u</mi><mo>=</mo><mrow><mo>(</mo><msub><mrow><mi>I</mi></mrow><mrow><mi>α</mi></mrow></msub><mo>∗</mo><msup><mrow><mrow><mo>|</mo><mi>u</mi><mo>|</mo></mrow></mrow><mrow><mi>q</mi></mrow></msup><mo>)</mo></mrow><msup><mrow><mrow><mo>|</mo><mi>u</mi><mo>|</mo></mrow></mrow><mrow><mi>q</mi><mo>−</mo><mn>2</mn></mrow></msup><mi>u</mi><mspace></mspace><mtext>in</mtext><mspace></mspace><msup><mrow><mi>R</mi></mrow><mrow><mi>N</mi></mrow></msup><mo>,</mo></mrow></math></span></span></span>where <span><math><mrow><mn>2</mn><mo>≤</mo><mi>p</mi><mo><</mo><mi>N</mi></mrow></math></span>, <span><math><mrow><mi>p</mi><mo>≤</mo><mi>q</mi><mo><</mo><mfrac><mrow><mi>p</mi><mrow><mo>(</mo><mi>N</mi><mo>+</mo><mi>α</mi><mo>)</mo></mrow></mrow><mrow><mn>2</mn><mrow><mo>(</mo><mi>N</mi><mo>−</mo><mi>p</mi><mo>)</mo></mrow></mrow></mfrac></mrow></math></span>, and <span><math><msub><mrow><mi>I</mi></mrow><mrow><mi>α</mi></mrow></msub></math></span> is the Riesz potential of order <span><math><mrow><mi>α</mi><mo>∈</mo><mrow><mo>(</mo><msup><mrow><mrow><mo>(</mo><mi>N</mi><mo>−</mo><mn>2</mn><mi>p</mi><mo>)</mo></mrow></mrow><mrow><mo>+</mo></mrow></msup><mo>,</mo><mi>N</mi><mo>)</mo></mrow></mrow></math></span>. By using the Ekeland variational principle and the implicit function theorem, we obtain the problem has a radial nodal solution for <span><math><mrow><mi>q</mi><mo>∈</mo><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mfrac><mrow><mi>p</mi><mrow><mo>(</mo><mi>N</mi><mo>+</mo><mi>α</mi><mo>)</mo></mrow></mrow><mrow><mn>2</mn><mrow><mo>(</mo><mi>N</mi><mo>−</mo><mi>p</mi><mo>)</mo></mrow></mrow></mfrac><mo>)</mo></mrow></mrow></math></span>. For the case of <span><math><mrow><mi>q</mi><mo>=</mo><mi>p</mi></mrow></math></span>, we employ the least energy radial nodal solution of <span><math><mrow><mi>q</mi><mo>></mo><mi>p</mi></mrow></math></span> pass to a limit procedure <span><math><mrow><mi>q</mi><mo>→</mo><mi>p</mi></mrow></math></span> to obtain our result. This article extends some results of related literatures.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109832"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145593474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-01Epub Date: 2025-10-30DOI: 10.1016/j.aml.2025.109804
Jiguang Rao , Lijuan Guo , Jingsong He
This letter investigates vector nonautonomous nondegenerate solitons and their collision dynamics in the coupled Gross–Pitaevskii equations with variable nonlinear coefficients and external potentials. By employing a bilinear representation linked to the KP hierarchy, compact determinant forms of nondegenerate soliton solutions are established. The results reveal several distinct localized waveforms, including single-hump and double-hump solitons, whose propagations follow curved paths dictated by the modulation function . The asymptotic analysis demonstrates two types of collision patterns for double-hump solitons: either retaining their original profiles or undergoing structural transformations. A previously unreported mixed process is also identified, in which one soliton preserves its symmetric profile while the other experiences a symmetry-breaking change. The work provides new insight into controllable nonlinear excitations relevant to vector Bose–Einstein condensates.
{"title":"Vector nonautonomous nondegenerate soliton solutions in the coupled Gross–Pitaevskii equations","authors":"Jiguang Rao , Lijuan Guo , Jingsong He","doi":"10.1016/j.aml.2025.109804","DOIUrl":"10.1016/j.aml.2025.109804","url":null,"abstract":"<div><div>This letter investigates vector nonautonomous nondegenerate solitons and their collision dynamics in the coupled Gross–Pitaevskii equations with variable nonlinear coefficients and external potentials. By employing a bilinear representation linked to the KP hierarchy, compact determinant forms of nondegenerate soliton solutions are established. The results reveal several distinct localized waveforms, including single-hump and double-hump solitons, whose propagations follow curved paths dictated by the modulation function <span><math><mrow><mi>r</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span>. The asymptotic analysis demonstrates two types of collision patterns for double-hump solitons: either retaining their original profiles or undergoing structural transformations. A previously unreported mixed process is also identified, in which one soliton preserves its symmetric profile while the other experiences a symmetry-breaking change. The work provides new insight into controllable nonlinear excitations relevant to vector Bose–Einstein condensates.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109804"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145405107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-01Epub Date: 2025-11-24DOI: 10.1016/j.aml.2025.109830
Songbai Guo, Xindi Wang, Qianqian Pan, Jing-An Cui
This paper presents a three-delay dengue model that includes waning vaccine immunity and asymptomatic infections. The model assumes that aware susceptible individuals avoid infection. We first derive the control reproduction number and establish the model’s well-posedness and dissipativity. Next, we prove the existence and uniqueness of the endemic equilibrium and analyze its global stability in terms of . Specifically, the disease-free equilibrium is globally stable in when . Conversely, the endemic equilibrium is globally stable in when .
{"title":"Global dynamics of a dengue model with multiple delays incorporating vaccine waning and asymptomatic infection","authors":"Songbai Guo, Xindi Wang, Qianqian Pan, Jing-An Cui","doi":"10.1016/j.aml.2025.109830","DOIUrl":"10.1016/j.aml.2025.109830","url":null,"abstract":"<div><div>This paper presents a three-delay dengue model that includes waning vaccine immunity and asymptomatic infections. The model assumes that aware susceptible individuals avoid infection. We first derive the control reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> and establish the model’s well-posedness and dissipativity. Next, we prove the existence and uniqueness of the endemic equilibrium and analyze its global stability in terms of <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>. Specifically, the disease-free equilibrium <span><math><msub><mrow><mi>E</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> is globally stable in <span><math><msub><mrow><mi>C</mi></mrow><mrow><mo>+</mo></mrow></msub></math></span> when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>≤</mo><mn>1</mn></mrow></math></span>. Conversely, the endemic equilibrium <span><math><msup><mrow><mi>E</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> is globally stable in <span><math><mi>M</mi></math></span> when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>></mo><mn>1</mn></mrow></math></span>.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109830"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145592983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-01Epub Date: 2025-11-03DOI: 10.1016/j.aml.2025.109808
Liang Li, Shu-Rong Liu, Tao Li
Clustering is a popular strategy to improve the performance of the randomized block Kaczmarz methods, but it is unavailable for large-scale linear systems due to the substantial complexity associated with clustering high-dimensional data. However, for high-dimensional datasets, the clustering with dimensionality reduction could overcome the aforesaid drawback while achieving comparable clustering results. The Achlioptas random projection, as a powerful dimensionality reduction method, projects high-dimensional data into a low-dimensional space and preserves distance relationships between data points. In this paper, we propose a fast randomized block residual steepest descent method, built upon the Achlioptas random projection and the Gaussian mixture model, for solving large sparse, overdetermined linear systems. The theoretical analysis of which is also established. Numerical experiments are performed to illustrate the effectiveness of the proposed method compared with some existing ones, especially in computing time.
{"title":"A randomized Achlioptas block residual steepest descent method for large sparse overdetermined linear systems","authors":"Liang Li, Shu-Rong Liu, Tao Li","doi":"10.1016/j.aml.2025.109808","DOIUrl":"10.1016/j.aml.2025.109808","url":null,"abstract":"<div><div>Clustering is a popular strategy to improve the performance of the randomized block Kaczmarz methods, but it is unavailable for large-scale linear systems due to the substantial complexity associated with clustering high-dimensional data. However, for high-dimensional datasets, the clustering with dimensionality reduction could overcome the aforesaid drawback while achieving comparable clustering results. The Achlioptas random projection, as a powerful dimensionality reduction method, projects high-dimensional data into a low-dimensional space and preserves distance relationships between data points. In this paper, we propose a fast randomized block residual steepest descent method, built upon the Achlioptas random projection and the Gaussian mixture model, for solving large sparse, overdetermined linear systems. The theoretical analysis of which is also established. Numerical experiments are performed to illustrate the effectiveness of the proposed method compared with some existing ones, especially in computing time.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109808"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145434662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-01Epub Date: 2025-11-21DOI: 10.1016/j.aml.2025.109827
Jingwen Yu, Fajun Yu
We extend the (1＋1)-dimensional nonlinear Schrödinger(NLS) equation to (2＋1)-dimensional variable coefficient higher-order equation and study the (2＋1)-dimensional variable coefficient higher-order NLS equation by using the Hirota bilinear method. Some non-autonomous soliton solutions and soliton interactions are derived. In particular, we consider soliton collision behavior and control wave propagation methods. By choosing some different free functions, we obtain bright soliton, periodic soliton, double solitons with opposite opening directions, double solitons with the same opening direction, bi-“S-typed” soliton and bi-“-typed” soliton. We consider some novel soliton collision phenomena and discover elastic collisions between two solitons. These results provide powerful methods for controlling the propagation of solitons. These results can aid in the analysis of new phenomena in optics.
{"title":"Non-autonomous soliton, wave propagation and collision dynamic for (2＋1)-dimensional higher-order nonlinear Schrödinger equation with variable coefficients","authors":"Jingwen Yu, Fajun Yu","doi":"10.1016/j.aml.2025.109827","DOIUrl":"10.1016/j.aml.2025.109827","url":null,"abstract":"<div><div>We extend the (1＋1)-dimensional nonlinear Schrödinger(NLS) equation to (2＋1)-dimensional variable coefficient higher-order equation and study the (2＋1)-dimensional variable coefficient higher-order NLS equation by using the Hirota bilinear method. Some non-autonomous soliton solutions and soliton interactions are derived. In particular, we consider soliton collision behavior and control wave propagation methods. By choosing some different free functions, we obtain bright soliton, periodic soliton, double solitons with opposite opening directions, double solitons with the same opening direction, bi-“S-typed” soliton and bi-“<span><math><mi>π</mi></math></span>-typed” soliton. We consider some novel soliton collision phenomena and discover elastic collisions between two solitons. These results provide powerful methods for controlling the propagation of solitons. These results can aid in the analysis of new phenomena in optics.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109827"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145567381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-01Epub Date: 2025-11-25DOI: 10.1016/j.aml.2025.109831
Yadong Zhong, Jingjing Ge, Yi Zhang
Through a direct semi-discretization procedure, we construct a discrete version of the Kuralay-II equation. By employing the Darboux transformation method, we derive multi-soliton solutions for the resulting discrete system. Finally, we also investigate the positon solution of the discrete equation and perform a comprehensive graphical analysis to illustrate its dynamic behavior.
{"title":"Integrable semi-discretization of the Kuralay-II equation and its positon solutions","authors":"Yadong Zhong, Jingjing Ge, Yi Zhang","doi":"10.1016/j.aml.2025.109831","DOIUrl":"10.1016/j.aml.2025.109831","url":null,"abstract":"<div><div>Through a direct semi-discretization procedure, we construct a discrete version of the Kuralay-II equation. By employing the Darboux transformation method, we derive multi-soliton solutions for the resulting discrete system. Finally, we also investigate the positon solution of the discrete equation and perform a comprehensive graphical analysis to illustrate its dynamic behavior.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109831"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145592979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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