|
|||||
|
|
The polygonal method for constructing exact solutions to certain nonlinear differential equations describing water waves |
|
| Authors: | M. V. Demina N. A. Kudryashov D. I. Sinel’shchikov |
| Affiliation: | (1) Moscow Engineering Physics Institute (State University), Kashirskoe sh. 31, Moscow, 115409, Russia |
| Abstract: | A method is proposed for constructing exact solutions to certain nonlinear differential equations of mathematical physics. Possible applications of this method are illustrated using equations arising in the description of water waves. Exact solutions to the generalized Gardner, Kawahara, and Benjamin-Bona-Mahony equations are constructed. |
| Keywords: | nonlinear differential equations of mathematical physics wave equations polygonal method for constructing exact solutions |
| 本文献已被 SpringerLink 等数据库收录！ | |