In this paper, the tanh-method is improved by means of a proper rational transformation based upon a coupled projective Riccati equations. The ansatz can be applied to find more and new exact solutions of the partial differential equations with the aid of symbolic computation system, Maple. We choos
Analytic solutions of a class of nonlinear partial differential equations
โ Scribed by Hong-qing Zhang; Qi Ding
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 221 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0253-4827
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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