2003Journal of Zhejiang Normal UniversityRequires access

Exact solutions for a generalized burgers-Fisher equation

Guo Guan-ping

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Abstract

The hyperbolic function method was used to study new exact travelling wave solutions for a class of nonlinear evolution equation. The basic idea of this method is based on the fact that solitary wave solution of the nonlinear evolution equations are essentially of a localized property. Because the travelling wave solution can be assumed as the polynomial form of the hyperbolic functions, the resultant solutions were obtained by solving a system of nonlinear algebraic equations.

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What this paper is about

The hyperbolic function method was used to study new exact travelling wave solutions for a class of nonlinear evolution equation. The basic idea of this method is based on the fact that solitary wave solution of the nonlinear evolution equations are essentially of a localized property. Because the travelling wave solution can be assumed as the polynomial form of the hyperbolic functions, the resultant solutions were obtained by solving a system of nonlinear algebraic equations.

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Available abstract

The hyperbolic function method was used to study new exact travelling wave solutions for a class of nonlinear evolution equation. The basic idea of this method is based on the fact that solitary wave solution of the nonlinear evolution equations are essentially of a localized property. Because the travelling wave solution can be assumed as the polynomial form of the hyperbolic functions, the resultant solutions were obtained by solving a system of nonlinear algebraic equations.

Key concepts: Mathematics, Nonlinear system, Burgers' equation, Mathematical analysis, Hyperbolic function, Traveling wave, Polynomial, Function (biology)

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