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Constructing exact solutions to discrete systems with the trial function method

Applied Mathematics(A Journal of Chinese Universities) 2008年第3期23卷 286-294页

作者： Taogetusang sirendaoerji College of Math.Sci. Inner Mongolia Normal Univ.

Based on the homogenous balance method and the trial function method, several trial function methods composed of exponential functions are proposed and applied to nonlinear discrete systems. With *** of symbolic computation system, the new exact solitary wave solutions to discrete nonlinear mKdV lattice equation, discrete nonlinear （2 ＋ 1） dimensional Toda lattice equation, Ablowitz-Ladik-lattice system are *** method is of significance to seek exact solitary wave solutions to other nonlinear discrete systems.

关键词： the trial function method,discrete system,(2+1)-dimensional Hybrid-lattice system exact solitary wave solution

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Infinite Sequence Soliton-Like Exact Solutions of (2 + 1)-Dimensional Breaking Soliton Equation

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Communications in Theoretical Physics 2011年第6期55卷 949-954页

作者： Taogetusang sirendaoerji 李姝敏 College of Mathematical Science Inner Mongolia Normal University College of Mathematical Science Bao Tou Teachers' College

To seek new infinite sequence soliton-like exact solutions to nonlinear evolution equations （NEE（s））, by developing two characteristics of construction and mechanization on auxiliary equation method, the second kind of elliptie equation is highly studied and new type solutions and Backlund transformation are obtained. Then （2＋ l ）-dimensional breaking soliton equation is chosen as an example and its infinite sequence soliton-like exact solutions are constructed with the help of symbolic computation system Mathematica, which include infinite sequence smooth soliton-like solutions of Jacobi elliptic type, infinite sequence compact soliton solutions of Jacobi elliptic type and infinite sequence peak soliton solutions of exponential function type and triangular function type.

关键词： the second kind of elliptic equation Backlund transformation nonlinear evolution equation infi-nite sequence soliton-like exact solution

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