Painleve Analysis, Soliton Solutions and Baicklund Transformation for Extended （2＋ 1）-Dimensional Konopelchenko-Dubrovsky Equations in Fluid Mechanics via Symbolic Computation

This paper is to investigate the extended （2＋1）-dimensional Konopelchenko-Dubrovsky equations, which can be applied to describing certain phenomena in the stratified shear flow, the internal and shallow-water waves, plasmas and other fields. Painleve analysis is passed through via symbolic computati...

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Bibliographic Details
Published in理论物理通讯：英文版 Vol. 55; no. 6; pp. 1017 - 1023
Main Author 许鹏博 高以天 于鑫 王雷 林国栎
Format Journal Article
LanguageEnglish
Published 2011
Subjects
Backlund变换
Painlevé分析
双线性形式
双线性方程
孤子解
流体力学方程
符号计算
转化
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Summary:This paper is to investigate the extended （2＋1）-dimensional Konopelchenko-Dubrovsky equations, which can be applied to describing certain phenomena in the stratified shear flow, the internal and shallow-water waves, plasmas and other fields. Painleve analysis is passed through via symbolic computation. Bilinear-form equations are constructed and soliton solutions are derived. Soliton solutions and interactions are illustrated. Bilinear-form Backlund transformation and a type of solutions are obtained.
Bibliography:extended （2 ＋1）-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics, Painleve analysis, soliton solutions, Backlund transformation, symbolic computation
11-2592/O3
This paper is to investigate the extended （2＋1）-dimensional Konopelchenko-Dubrovsky equations, which can be applied to describing certain phenomena in the stratified shear flow, the internal and shallow-water waves, plasmas and other fields. Painleve analysis is passed through via symbolic computation. Bilinear-form equations are constructed and soliton solutions are derived. Soliton solutions and interactions are illustrated. Bilinear-form Backlund transformation and a type of solutions are obtained.
ISSN:0253-6102