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

被引：12

作者：

Xu Peng-Bo ^{[1
,2
]}

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

Yu Xin ^{[1
,2
]}

Wang Lei ^{[1
,2
]}

Lin Guo-Dong ^{[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：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2011年 / 55卷 / 06期

基金：

国家高技术研究发展计划(863计划); 中国国家自然科学基金;

关键词：

extended (2+1)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics; Painleve analysis; soliton solutions; Backlund transformation; symbolic computation; TRAVELING-WAVE SOLUTIONS; KADOMTSEV-PETVIASHVILI EQUATION; NONLINEAR SCHRODINGER MODEL; EXPLICIT EXACT-SOLUTIONS; F-EXPANSION METHOD; VARIABLE-COEFFICIENTS; RICCATI EQUATION; GARDNER EQUATION; OPTICAL-FIBERS; DUSTY PLASMA;

D O I：

10.1088/0253-6102/55/6/15

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：1017 / 1023

页数：7

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