Solitary Wave Solutions for Burgers-Fisher type Equations with Variable Coefficients

We have solved the Burgers-Fisher (BF) type equations, with time-dependent coefficients of convection and reaction terms, by using the auxiliary equation method. A class of solitary wave solutions are obtained, and some of which are derived for the first time. We have studied the effect of variable coefficients on physical parameters (amplitude and velocity) of solitary wave solutions. In some cases, the BF equations could be solved for arbitrary timedependent coefficient of convection term.

Authors:

• Amit Goyal
• Alka
• Rama Gupta
• C. Nagaraja Kumar

Keywords:

• Solitary wave solution
• Variable coefficient Burgers- Fisher equation
• Auxiliary equation method.

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