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On the Quasi-Periodic Wave Solutions and Asymptotic Analysis to a (3+1)-Dimensional Generalized Kadomtsev—Petviashvili Equation

✍ Scribed by Tian, Shou-Fu; Ma, Pan-Li


Book ID
126166610
Publisher
IOP Publishing
Year
2014
Tongue
English
Weight
605 KB
Volume
62
Category
Article
ISSN
0253-6102

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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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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