2010•Jiangnan daxue xuebao. Ziran kexue banRequires access

Exact Solutions of Nonlinear Differential-Difference Two-Component Volterra Lattice Equation

Tian Li-xin

Abstract

The (G′/G)-expansion method is used to solve nonlinear differential-difference equation.By symbolic computation,the hyperbolic function solutions and trigonometric function solutions with parameters of the two-component Volterra lattice equation are obtained.When the parameters are taken as special values,some known solutions including kink-type solitary wave solution and singular travelling wave solution are recovered.The method is more effective than tanh function method and can be used for the exact solutions of nonlinear differential-difference equations.

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Key concepts: Mathematics, Hyperbolic function, Trigonometric functions, Mathematical analysis, Nonlinear system, Differential equation, Partial differential equation, Trigonometry