An algorithm to generate solutions for members of a class of completely integrable partial differential equations has been derived from a constructive proof of Frobenius' Theorem. The algorithm is implemented as a procedure in the computer algebra system Maple. Because the implementation uses the fa
More solutions of the auxiliary equation to get the solutions for a class of nonlinear partial differential equations
β Scribed by Yang Feng; Dan Wang; Wen-ting Li; Hong-qing Zhang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 205 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1007-5704
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β¦ Synopsis
a b s t r a c t
In this paper, a new auxiliary function method is presented for constructing exact travelling wave solutions of nonlinear evolution equations. By the relationships of Jacobi elliptic functions, we get more solutions of the auxiliary equation compared with El-Wakila and Abdou ( 2006) [22]. So, more new exact travelling wave solutions are obtained for a class of nonlinear partial differential equations.
π SIMILAR VOLUMES
## Abstract In this article we present the solution of linear partial differential equations of the form β~__t__~__f__ = LΜ__f__, for initial value problems. Also the solution of some diffusion equations will be discussed.