Exact traveling wave solutions of Kadomtsev–Petviashvili equation
✍ Scribed by Khan, Kamruzzaman; Ali Akbar, M.
- Book ID
- 123332653
- Publisher
- Elsevier
- Year
- 2015
- Weight
- 413 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1110-256X
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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
This paper is concerned with traveling waves for the generalized Kadomtsev}Petviashvili equation (w y)31, t31, i.e. solutions of the form w(t, , y)"u( !ct, y). We study both, solutions periodic in x" !ct and solitary waves, which are decaying in x, and their interrelations. In particular, we prove
Exact periodic kink-wave solution, periodic soliton and doubly periodic solutions for the potential Kadomtsev-Petviashvii (PKP) equation are obtained using homoclinic test technique and extended homoclinic test technique, respectively. It is investigated that periodic soliton is degenerated into dou