Exact traveling wave solutions to nonlinear diffusion and wave equations |
| |
| Authors: | Z. J. Yang R. A. Dunlap D. J. W. Geldart |
| |
| Affiliation: | 1. Department of Physics, Dalhousie University, B3H 3J5, Halifax, Nova Scotia, Canada
|
| |
| Abstract: | By the introduction of some ansatz equations, we have obtained several new classes of traveling (solitary) wave solutions to the nonlinear diffusion equation $$f_1 (u)u_t + f_2 (u)u_x + f_3 (u)u_{xx} + f_4 (u)u_x^2 = f_5 (u)$$ and the nonlinear wave equation $$f_1 (u)u_u + f_2 (u)u_t + f_3 (u)u_{xx} + f_4 (u)u_x + f_5 (u)u_x^2 + cdots = f_6 (u)$$ Some applications of these solutions are discussed. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
