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New exact traveling wave solutions of the (3 + 1) dimensional Kadomtsev–Petviashvili (KP) equation

✍ Scribed by Mohammed Khalfallah


Book ID
108096828
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
141 KB
Volume
14
Category
Article
ISSN
1007-5704

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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

Bifurcations of travelling wave solution
✍ Shengqiang Tang; Chunhai Li; Kelei Zhang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 544 KB

In this paper, the (N + 1)-dimensional sine-cosine-Gordon equations are studied. The existence of solitary wave, kink and anti-kink wave, and periodic wave solutions are proved, by using the method of bifurcation theory of dynamical systems. All possible bounded exact explicit parametric representat