Exact solutions for some nonlinear evolution equations which describe pseudo-spherical surfaces

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:189

Article; Proceedings Paper

Khater, AH ; Callebaut, DK ; Sayed, SM

关键词: nonlinear evolution equations;    Backlund transformations;    pseudo-spherical surfaces;   

DOI  :  10.1016/j.cam.2005.10.007

来源: Elsevier

【 摘 要 】

For some nonlinear evolution equations which describe pseudo-spherical surfaces two new exact solution classes are generated from known solutions: either the seed solution is constant or a traveling wave. Exact traveling wave and solitary wave solutions for Burgers' equation and also for a fifth-order evolution equation containing the fifth-order Korteweg-de Vries equation and also the Sawada-Kotera equation, are obtained by using an improved sine-cosine method and the Wu's elimination method. We also apply Backlund transformations to these solutions and generate new soliton solution classes. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free