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 |