Soliton Solutions, Backlund Transformation and Wronskian Solutions for the (2+1)-Dimensional Variable-Coefficient Konopelchenko-Dubrovsky Equations in Fluid Mechanics

被引：2
作者：
Xu, Peng-Bo [1 ,2 ]
Gao, Yi-Tian [1 ,2 ,3 ]
Wang, Lei [1 ,2 ]
Meng, De-Xin [1 ,2 ]
Gai, Xiao-Ling [1 ,2 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Minist Educ, Key Lab Fluid Mech, 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：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2012年 / 67卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
(2+1)-Dimensional Variable-Coefficient Konopelchenko-Dubrovsky Equations; Fluid Mechanics; Soliton Solutions; Backlund Transformation; Wronskian Solutions; Symbolic Computation; TRAVELING-WAVE SOLUTIONS; KADOMTSEV-PETVIASHVILI EQUATION; PARTIAL-DIFFERENTIAL-EQUATIONS; INHOMOGENEOUS OPTICAL-FIBERS; ION-ACOUSTIC-WAVES; F-EXPANSION METHOD; SYMBOLIC-COMPUTATION; GARDNER EQUATION; CONSTRUCTION; NEBULONS;
D O I：
10.5560/ZNA.2011-0071
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
This paper is to investigate the (2 + 1)-dimensional variable-coefficient Konopelchenko-Dubrovsky equations, which can be applied to the phenomena in stratified shear flow, internal and shallow-water waves, plasmas, and other fields. The bilinear-form equations are transformed from the original equations, and soliton solutions are derived via symbolic computation. Soliton solutions and collisions are illustrated. The bilinear-form Backlund transformation and another soliton solution are obtained. Wronskian solutions are constructed via the Backlund transformation and solution.
引用
收藏
页码：132 / 140
页数：9
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