Inelastic interactions and double Wronskian solutions for the Whitham-Broer-Kaup model in shallow water

被引：61

作者：

Wang, Lei ^{[1
,2
]}

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

Gai, Xiao-Ling ^{[1
,2
]}

Sun, Zhi-Yuan ^{[1
,2
]}

机构：

[1] Beijing Univ Aeronaut & Astronaut, Key Lab Fluid Mech, Minist Educ, Beijing 100191, Peoples R China

[2] Beijing Univ Aeronaut & Astronaut, Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R China

[3] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China

来源：

PHYSICA SCRIPTA | 2009年 / 80卷 / 06期

基金：

中国国家自然科学基金;

关键词：

NONLINEAR SCHRODINGER MODEL; PARTIALLY COHERENT SOLITONS; TRAVELING-WAVE SOLUTIONS; ION-ACOUSTIC-WAVES; DARBOUX TRANSFORMATION; MULTISOLITON SOLUTIONS; SYMBOLIC-COMPUTATION; EXPLICIT SOLUTIONS; OPTICAL-FIBERS; BACKLUND TRANSFORMATION;

D O I：

10.1088/0031-8949/80/06/065017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Under investigation in this paper is the Whitham-Broer-Kaup (WBK) model for the dispersive long wave in shallow water. Connection between the WBK model and a second-order Ablowitz-Kaup-Newell-Segur (AKNS) system is revealed. By means of the Darboux transformation for the second-order AKNS system, the multisoliton solutions in terms of the double Wronskian determinant for the WBK model are derived. Inelastic interactions are graphically discussed. Our results could be helpful for interpreting certain nonlinear wave phenomena in shallow water.

引用

页数：8

共 88 条

[1]

Ablowitz M.J., 1991, Solitons, Nonlinear Evolution Equations and Inverse Scattering, DOI DOI 10.1017/CBO9780511623998

[2] Partially coherent solitons of variable shape [J].