2009•Acta Physica SinicaOpen access

Constructing new exact solutions to nonlinear difference-differential equations by Riccati equation

Taogetusang, Sirendaoerji, 内蒙古师范大学数学科学学院,呼和浩特 010022

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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Key concepts: Riccati equation, Algebraic Riccati equation, Differential equation, Nonlinear system, Exact differential equation, Computation, Symbolic computation, Mathematics