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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Bibliographic Details
Published in:Computers & mathematics with applications (1987) Vol. 70; no. 5; pp. 765 - 775
Main Authors: Cheng, Li, Zhang, Yi
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.09.2015
Subjects:
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
Online Access:Get full text
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Summary: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