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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


Comment on: New exact traveling wave sol
✍ Dmitry I. Sinelshchikov 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 135 KB

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

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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

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