Symbolic computation and new families of exact non-travelling wave solutions of (2 + 1)-dimensional Konopelchenko–Dubrovsky equations
✍ Scribed by Zhang Sheng
- Book ID
- 108088674
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 155 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0960-0779
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📜 SIMILAR VOLUMES
method a b s t r a c t We demonstrate that four solutions from 13 of the (3 + 1)-dimensional Kadomtsev-Petviashvili equation obtained by Khalfallah [1] are wrong and do not satisfy the equation. The other nine exact solutions are the same and all ''new" solutions by Khalfallah can be found from the
Two new 2 + 1 dimensional nonlinear evolution equations are presented. The 2 + 1 dimensional equations closely relate with a hierarchy of 1 + 1 dimensional soliton equations. Through nonlinearizing of Lax pairs, the 1 + 1 dimensional evolution equations are decomposed to the finite dimensional integ