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
收藏
页数:7
相关论文
共 56 条
[1]   A new class of (2+1)-dimensional combined structures with completely elastic and non-elastic interactive properties [J].
Bai, CL ;
Bai, CJ ;
Zhao, H .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2006, 61 (1-2) :53-59
[2]   Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations [J].
Chen, Si-Jia ;
Yin, Yu-Hang ;
Lu, Xing .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 130
[3]   Wronskian solutions and linear superposition of rational solutions to B-type Kadomtsev-Petviashvili equation [J].
Chen, Yu ;
Lu, Xing .
PHYSICS OF FLUIDS, 2023, 35 (10)
[4]   Nonlinear localized waves and their interactions for a (2+1)-dimensional extended Bogoyavlenskii-Kadomtsev-Petviashvili equation in a fluid [J].
Cheng, Chong-Dong ;
Tian, Bo ;
Zhou, Tian-Yu ;
Shen, Yuan .
WAVE MOTION, 2024, 125
[5]   Bilinear form, auto-Backlund transformations, Pfaffian, soliton, and breather solutions for a (3+1)-dimensional extended shallow water wave equation [J].
Cheng, Chong-Dong ;
Tian, Bo ;
Shen, Yuan ;
Zhou, Tian-Yu .
PHYSICS OF FLUIDS, 2023, 35 (08)
[6]   Pfaffian, breather, and hybrid solutions for a (2+1)-dimensional generalized nonlinear system in fluid mechanics and plasma physics [J].
Cheng, Chong-Dong ;
Tian, Bo ;
Ma, Yong-Xin ;
Zhou, Tian-Yu ;
Shen, Yuan .
PHYSICS OF FLUIDS, 2022, 34 (11)
[7]   NEW SIMILARITY REDUCTIONS OF THE BOUSSINESQ EQUATION [J].
CLARKSON, PA ;
KRUSKAL, MD .
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (10) :2201-2213
[8]   Exotic localized structures based on a variable separation solution of the (2+1)-dimensional higher-order Broer-Kaup system [J].
Dai, Chao-Qing ;
Cen, Xu ;
Wu, Sheng-Sheng .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (01) :259-265
[9]   Bilinear Form, Bilinear Backlund Transformations, Breather and Periodic-Wave Solutions for a (2+1)-Dimensional Shallow Water Equation with the Time-Dependent Coefficients [J].
Feng, Chun-Hui ;
Tian, Bo ;
Yang, Dan-Yu ;
Gao, Xiao-Tian .
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2023, 22 (04)
[10]   Lump and hybrid solutions for a (3+1)-dimensional Boussinesq-type equation for the gravity waves over a water surface [J].
Feng, Chun-Hui ;
Tian, Bo ;
Yang, Dan-Yu ;
Gao, Xiao-Tian .
CHINESE JOURNAL OF PHYSICS, 2023, 83 :515-526