New abundant solutions for the Burgers equation
✍ Scribed by Alvaro H. Salas S.; Cesar A. Gomez S; Jairo Ernesto Castillo Hernańdez
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 468 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
✦ Synopsis
This paper applies a new modified Exp-function method to search for exact solitary solutions of the Burgers equation. Using the imaginary transformation suggested by He and Wu, solitary solutions can be easily converted into periodic or compacton-like solutions. Many new solutions are appearing for the first time in the open literature.
📜 SIMILAR VOLUMES
Communicated by D. G. Crighton Abstract--We describe a new class of solutions of the KdVB equation which demonstrates chaotic behaviour. (~) 2000 Elsevier Science Ltd. All rights reserved.
A generalized tanh function method is used for constructing exact travelling wave solutions of nonlinear partial differential equations in a unified way. The main idea of this method is to take full advantage of the Riccati equation which has more new solutions. More new multiple soliton solutions a
Our earlier paper incorporated linear basis functions for the representation of the distribution of the primary variable (velocity) into a model of the Green element method (GEM) for the solution of Burgers' equation. GEM is an element-by-element numerical procedure of implementing the singular boun