A bilinear Bäcklund transformation of a (3+1) -dimensional generalized KP equation

Wen Xiu Ma; Alrazi Abdeljabbar

doi:10.1016/j.aml.2012.01.003

A bilinear Bäcklund transformation of a (3+1) -dimensional generalized KP equation

Wen Xiu Ma
, Alrazi Abdeljabbar

Mathematics

University of South Florida, Tampa

Research output: Contribution to journal › Article › peer-review

145 Scopus citations

Abstract

A bilinear Bäcklund transformation is presented for a (3+1)-dimensional generalized KP equation, which consists of six bilinear equations and involves nine arbitrary parameters. Two classes of exponential and rational traveling wave solutions with arbitrary wave numbers are computed, based on the proposed bilinear Bäcklund transformation.

Original language	British English
Pages (from-to)	1500-1504
Number of pages	5
Journal	Applied Mathematics Letters
Volume	25
Issue number	10
DOIs	https://doi.org/10.1016/j.aml.2012.01.003
State	Published - Oct 2012

Keywords

Bäcklund transformation
Hirota bilinear form
Solitary wave solution

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10.1016/j.aml.2012.01.003

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title = "A bilinear B{\"a}cklund transformation of a (3+1) -dimensional generalized KP equation",

abstract = "A bilinear B{\"a}cklund transformation is presented for a (3+1)-dimensional generalized KP equation, which consists of six bilinear equations and involves nine arbitrary parameters. Two classes of exponential and rational traveling wave solutions with arbitrary wave numbers are computed, based on the proposed bilinear B{\"a}cklund transformation.",

keywords = "B{\"a}cklund transformation, Hirota bilinear form, Solitary wave solution",

author = "Ma, \{Wen Xiu\} and Alrazi Abdeljabbar",

note = "Funding Information: The work was supported in part by the State Administration of Foreign Experts Affairs of China, the National Natural Science Foundation of China (Nos. 10831003 , 61072147 and 11071159 ), Chunhui Plan of the Ministry of Education of China, Zhejiang Innovation Project (Grant No. T200905 ), the Natural Science Foundation of Shanghai (No. 09ZR1410800 ) and the Shanghai Leading Academic Discipline Project (No. J50101).",

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N2 - A bilinear Bäcklund transformation is presented for a (3+1)-dimensional generalized KP equation, which consists of six bilinear equations and involves nine arbitrary parameters. Two classes of exponential and rational traveling wave solutions with arbitrary wave numbers are computed, based on the proposed bilinear Bäcklund transformation.

AB - A bilinear Bäcklund transformation is presented for a (3+1)-dimensional generalized KP equation, which consists of six bilinear equations and involves nine arbitrary parameters. Two classes of exponential and rational traveling wave solutions with arbitrary wave numbers are computed, based on the proposed bilinear Bäcklund transformation.

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KW - Hirota bilinear form

KW - Solitary wave solution

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A bilinear Bäcklund transformation of a (3+1) -dimensional generalized KP equation

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Keywords

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