In this paper, we present a solution method that utilizes symbolic computation to obtain exact traveling wave solutions of some systems of nonlinear partial differential equations. The solution method is demonstrated by obtaining solutions to the variant shallow water wave equations.
Exact solutions of some nonlinear evolution equations using symbolic computations
โ Scribed by B Abdel-Hamid
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 526 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0898-1221
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๐ SIMILAR VOLUMES
## In this paper, a direct and unified algorithm for constructing multiple travelling wave solutions of nonlinear partial differential equations (PDBs) is presented and implemented in a computer algebraic system. The key idea of this method is to take full advantage of a Riccati equation involving
A direct series method to find exact travelling wave solutions of nonlinear PDEs is appfied to Hirota's system of coupled Korteweg-de Vries equations and to the sine-Gordon equation. The straightforward but lengthy algebraic computations to obtain single and multi-soliton solutions can be carried ou