New exact solutions of nonlinear differential-difference equations with symbolic computation
โ Scribed by Shou-quan Xiong; Tie-cheng Xia
- Book ID
- 107482827
- Publisher
- Chinese Electronic Periodical Services
- Year
- 2010
- Tongue
- English
- Weight
- 132 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1007-6417
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, an algorithm is presented to find exact polynomial solutions of nonlinear differential-difference equations(DDEs) in terms of the Jacobi elliptic functions. The key steps of the algorithm are illustrated by the discretized mKdV lattice. A Maple package JACOBI is developed based on the
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.
We analyze the paper by Wazwaz and Mehanna [Wazwaz AM, Mehanna MS. A variety of exact travelling wave solutions for the (2 + 1)-dimensional Boiti-Leon-Pempinelli equation. Appl Math Comput 2010;217:1484-90]. The authors claim that they have found exact solutions of the (2 + 1)-dimensional Boiti-Leon