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物理学报  2009 

Constructing new exact solutions to nonlinear difference-differential equations by Riccati equation
用Riccati方程构造非线性差分微分方程新的精确解

Keywords: Riccati equation,function transformation,nonlinear difference-differential equation,solitary wave solution
Riccati方程,
,函数变换,,非线性差分微分方程,,孤立波解

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Abstract:

A method for combining Riccati equation with function transformation is applied to seek exact solutions to the nonlinear difference-differential equations. And new exact solitary wave solutions and triangular function solutions to modified Volterra equation and general lattice equations are obtained with the help of symbolic computation system Mathematica.

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