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Exact traveling wave solutions of nonlinear PDEs in mathematical physics using the modified simple equation method. (English) Zbl 1278.35171

Summary: In this article, we apply the modified simple equation method to find the exact solutions with parameters of the (1+1)-dimensional nonlinear Burgers-Huxley equation, the (2+1) dimensional cubic nonlinear Klein-Gordon equation and the (2+1)-dimensional nonlinear Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation. The new exact solutions of these three equations are obtained. When these parameters are given special values, the solitary solutions are obtained.

MSC:

35Q20 Boltzmann equations
35K99 Parabolic equations and parabolic systems
35P05 General topics in linear spectral theory for PDEs