New infinite sequence exact solutions of  a set of (2+1)-dimensional dispersive wave equations

Abstract

Abstract:

To seek new infinite sequence exact solutions to nonlinear evolution equations, the formula of nonlinear superposition of some new solutions and B\"{a}cklund transformation of Riccati equation are given, and combing Riccati equation with function transformation, new infinite sequence exact solutions to a set of (2+1)-dimensional dispersive wave equations are constructed with the aid of symbolic computation system Mathematica, which include infinite sequence soliton-like solutions and infinite sequence complexiton solutions. The method is of significance to seek infinite sequence exact solutions to other nonlinear evolution equations.

Key words: Riccati equation, B¨acklund transformation, the formula of nonlinear superposition, exact solution

Taogetusang, Sirendaoerji. New infinite sequence exact solutions of a set of (2+1)-dimensional dispersive wave equations[J]. J4, 2010, 27(4): 402-410.

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New infinite sequence exact solutions of a set of (2+1)-dimensional dispersive wave equations

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