New insight to the shallow-water studies on a (2+1)-dimensional generalized Broer-Kaup system

被引：0

作者：

Gao, Xin-Yi ^{[1
,2
,3
]}

Guo, Yong-Jiang ^{[1
,2
]}

Shan, Wen-Rui ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[3] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2025年 / 39卷 / 15期

基金：

中国国家自然科学基金;

关键词：

Shallow water; (2+1)-dimensional generalized Broer-Kaup system; similarity reductions; symbolic computation; KADOMTSEV-PETVIASHVILI EQUATION; DARBOUX TRANSFORMATION; SIMILARITY REDUCTIONS; LOCALIZED STRUCTURES; SOLITONS; ANNIHILATION; FISSION; WAVES;

D O I：

10.1142/S0217984924505018

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Of current interest, there have recently appeared a series of the shallow-water papers in Mod. Phys. Lett. B. Illuminated by those papers and to make the story more complete, for the nonlinear long waves in the shallow water, this paper is scheduled to investigate a (2+1)-dimensional generalized Broer-Kaup system. As for the wave height and wave horizontal velocity, we employ symbolic computation, with the view of constructing out two groups of the similarity reductions.

引用

页数：7

共 56 条

[41] Nonlinear Schrodinger waves in a disordered potential: Branched flow, spectrum diffusion, and rogue waves [J].

Sun, Zhi-Yuan ;

Yu, Xin .

CHAOS, 2022, 32 (02)

[42] Non-Lie symmetry groups and new exact solutions of a (2+1)-dimensional generalized Broer-Kaup system [J].

Wang, Hong ;

Tian, Ying-Hui .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (10) :3933-3940

[43] Construction of new exact rational form non-travelling wave solutions to the (2+1)-dimensional generalized Broer-Kaup system [J].

Wen, Xiaoyong .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) :1367-1375

[44] On a variable-coefficient AB system in a baroclinic flow: Generalized Darboux transformation and non-autonomous localized waves [J].

Wu, Xi-Hu ;

Gao, Yi-Tian ;

Yu, Xin ;

Liu, Fei-Yan .

WAVE MOTION, 2023, 122

[45] N-fold generalized Darboux transformation and asymptotic analysis of the degenerate solitons for the Sasa-Satsuma equation in fluid dynamics and nonlinear optics [J].

Wu, Xi-Hu ;

Gao, Yi-Tian ;

Yu, Xin ;

Ding, Cui-Cui .

NONLINEAR DYNAMICS, 2023, 111 (17) :16339-16352

[46] Generalized Darboux transformation and solitons for a Kraenkel-Manna-Merle system in a ferromagnetic saturator [J].

Wu, Xi-Hu ;

Gao, Yi-Tian ;

Yu, Xin ;

Liu, Fei-Yan .

NONLINEAR DYNAMICS, 2023, 111 (15) :14421-14433

[47] Vector breathers, rogue and breather-rogue waves for a coupled mixed derivative nonlinear Schrodinger system in an optical fiber [J].

Wu, Xi-Hu ;

Gao, Yi-Tian ;

Yu, Xin ;

Li, Liu-Qing ;

Ding, Cui-Cui .

NONLINEAR DYNAMICS, 2023, 111 (06) :5641-5653

[48] Generalized Darboux transformation and solitons for the Ablowitz-Ladik equation in an electrical lattice [J].

Wu, Xi -Hu ;

Gao, Yi-Tian .

APPLIED MATHEMATICS LETTERS, 2023, 137

[49] Kinetic analysis and numerical tests of an adaptive car-following model for real-time traffic in ITS [J].

Yin, Yu-Hang ;

Lu, Xing ;

Jiang, Rui ;

Jia, Bin ;

Gao, Ziyou .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2024, 635

[50] Fission, fusion and annihilation in the interaction of localized structures for the (2+1)-dimensional generalized Broer-Kaup system [J].

Yomba, E ;

Peng, YZ .

CHAOS SOLITONS & FRACTALS, 2006, 28 (03) :650-667

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