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.
Symbolic computation and exact traveling solutions for nonlinear partial differential equations
โ Scribed by Guo-cheng Wu; Tie-cheng Xia
- Book ID
- 107482645
- Publisher
- Chinese Electronic Periodical Services
- Year
- 2008
- Tongue
- English
- Weight
- 176 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1007-6417
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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
Elementary transformations are utilized to obtain traveling wave solutions of some diffusion and wave equations, including long wave equations and wave equations the nonlinearity of which consists of a linear combination of periodic functions, either trigonometric or elliptic. In particular, a theor