New Exact Solutions for Generalized Fitzhug-Nagumo Equation by Homogeneous balance Method


Abstract in English

In this work, we have found exact traveling wave solutions for generalized Fitzhug- Nagumo equation with arbitrary constant coefficients, by using the homogeneous balance method, The obtained results shows that these solutions changes with the specials solution of Ricati ODE with arbitrary constant coefficients , and shows that this method is simple, direct and very efficient for solving this kind of nonlinear PDEs, It can be applied to nonlinear PDEs which frequently arise in engineering sciences, mathematical physics and other scientific real-time applications fields.

References used

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Z.S. FENG, X.H. WANG, The first integral method to the two-dimensional Burgers–Korteweg-de Vries equation, Phys. Lett. A 308 (2003) 173–178

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