|
|||||
|
|
Modified method of simplest equation and its application to nonlinear PDEs |
|
| Authors: | Nikolay K. Vitanov Zlatinka I. Dimitrova |
| Affiliation: | a Institute of Mechanics, Bulgarian Academy of Sciences, Akad. G. Bonchev Str., Bl. 4, 1113 Sofia, Bulgaria b Max-Planck-Institute for the Physics of Complex Systems, Noethnitzerstr. 38, 01187 Dresden, Germany c “G. Nadjakov” Institute for Solid State Physics, Bulgarian Academy of Science, Blvd. Tzarigradsko Chaussee 72, 1784 Sofia, Bulgaria |
| Abstract: | We search for traveling-wave solutions of the class of PDEs where Ap(Q),Br(Q),Cs(Q),Du(Q) and F(Q) are polynomials of Q. The basis of the investigation is a modification of the method of simplest equation. The equations of Bernoulli, Riccati and the extended tanh-function equation are used as simplest equations. The obtained general results are illustrated by obtaining exact solutions of versions of the generalized Kuramoto-Sivashinsky equation, reaction-diffusion equation with density-dependent diffusion, and the reaction-telegraph equation. |
| Keywords: | Method of simplest equation Traveling-waves Generalized Kuramoto-Sivashinsky equation Reaction-diffusion equation Reaction-telegraph equation |
| 本文献已被 ScienceDirect 等数据库收录！ | |