New exact solutions to the (2+1)-dimensional Konopelchenko-Dubrovsky equation

被引：19

作者：

Wang, Yang ^{[1
]}

Wei, Long ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Inst Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 02期

关键词：

(2+1)-Dimensional KD equation; Travelling wave solutions; Complexitons; NONLINEAR EVOLUTION-EQUATIONS; TRAVELING-WAVE SOLUTIONS; TANH METHOD; COMPLEXITON SOLUTIONS; SYMBOLIC-COMPUTATION; MATHEMATICAL PHYSICS; BOUSSINESQ EQUATION; SOLITONS SOLUTIONS; TRANSFORMATION; EXPANSION;

D O I：

10.1016/j.cnsns.2009.03.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the extended tanh method, the sech-csch ansatz, the Hirota's bilinear formalism combined with the simplified Hereman form and the Darboux transformation method are applied to determine the traveling wave solutions and other kinds of exact solutions for the (2 + 1)-dimensional Konopelchenko-Dubrovsky equation and abundant new soliton solutions, kink solutions, periodic wave solutions and complexiton solutions are formally derived. The work confirms the significant features of the employed methods and shows the variety of the obtained solutions. (c) 2009 Elsevier B.V. All rights reserved.

引用

页码：216 / 224

页数：9

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