Multiple wave solutions and auto-Bäcklund transformation for the (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation

The multiple Exp-function method is used to construct multiple wave solutions to the (3+1)-dimensional generalized BKP equation. The resulting solutions involve generic phase shifts and wave frequencies containing some existing choices. By taking the standard truncated Painlevé analysis, we obtained...

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Vydáno v:	Computers & mathematics with applications (1987) Ročník 70; číslo 5; s. 765 - 775
Hlavní autoři:	Cheng, Li, Zhang, Yi
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Ltd 01.09.2015
Témata:	Auto-Bäcklund transformation Generalized BKP equation Hyperbolic and trigonometric function solutions Multiple wave solutions Generalized BKP equation Auto-Bäcklund transformation Hyperbolic and trigonometric function solutions Multiple wave solutions
ISSN:	0898-1221, 1873-7668
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Popis
Shrnutí:	The multiple Exp-function method is used to construct multiple wave solutions to the (3+1)-dimensional generalized BKP equation. The resulting solutions involve generic phase shifts and wave frequencies containing some existing choices. By taking the standard truncated Painlevé analysis, we obtained an auto-Bäcklund transformation and some types of exact solutions of the (3+1)-dimensional generalized BKP equation. Moreover, the linear superposition principles of hyperbolic and trigonometric function solutions are also presented.
ISSN:	0898-1221 1873-7668
DOI:	10.1016/j.camwa.2015.05.028