Exact Solutions for Burgers-Fisher Equation
Baogang He
Abstract
Baogang He
Abstract
The hyperbolic function method has been used to study new exact travelling wave solutions for a class of nonlinear evolution equation u t-du xx +auu x+b(u 2-u)=0.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 the polynomial form of the hyperbolic functions,the resultant solutions are obtained by solving a systems of nonlinear algebraic equations.
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The hyperbolic function method has been used to study new exact travelling wave solutions for a class of nonlinear evolution equation u t-du xx +auu x+b(u 2-u)=0.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 the polynomial form of the hyperbolic functions,the resultant solutions are obtained by solving a systems of nonlinear algebraic equations.
Key concepts: Nonlinear system, Mathematics, Traveling wave, Burgers' equation, Algebraic number, Polynomial, Mathematical analysis, Hyperbolic function