Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive mK(m,n) equations

Yong Chen; Biao Li; Hongqing Zhang

doi:10.1016/S0960-0779(02)00485-X

Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive mK(m,n) equations

Yong Chen^*
, Biao Li
, Hongqing Zhang

^*此作品的通讯作者

Dalian University of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

54 引用（Scopus）

摘要

Based on the idea of homogenous balance method and with the help of Mathematica, we obtain a new auto-Bäcklund transformation for modified nonlinear dispersive equation mK(m,n). Then based on the Bäcklund transformation, some solitary patterns solution for mK(m,n) equation are derived. In addition, we also obtain the general solutions for mK(n,n) in higher dimensional spatial domains, even in N dimensional space.

源语言	英语
页（从-至）	693-698
页数	6
期刊	Chaos, Solitons and Fractals
卷	17
期	4
DOI	https://doi.org/10.1016/S0960-0779(02)00485-X
出版状态	已出版 - 8月 2003
已对外发布	是

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title = "Auto-B{\"a}cklund transformation and exact solutions for modified nonlinear dispersive mK(m,n) equations",

abstract = "Based on the idea of homogenous balance method and with the help of Mathematica, we obtain a new auto-B{\"a}cklund transformation for modified nonlinear dispersive equation mK(m,n). Then based on the B{\"a}cklund transformation, some solitary patterns solution for mK(m,n) equation are derived. In addition, we also obtain the general solutions for mK(n,n) in higher dimensional spatial domains, even in N dimensional space.",

author = "Yong Chen and Biao Li and Hongqing Zhang",

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AU - Chen, Yong

AU - Li, Biao

AU - Zhang, Hongqing

PY - 2003/8

Y1 - 2003/8

N2 - Based on the idea of homogenous balance method and with the help of Mathematica, we obtain a new auto-Bäcklund transformation for modified nonlinear dispersive equation mK(m,n). Then based on the Bäcklund transformation, some solitary patterns solution for mK(m,n) equation are derived. In addition, we also obtain the general solutions for mK(n,n) in higher dimensional spatial domains, even in N dimensional space.

AB - Based on the idea of homogenous balance method and with the help of Mathematica, we obtain a new auto-Bäcklund transformation for modified nonlinear dispersive equation mK(m,n). Then based on the Bäcklund transformation, some solitary patterns solution for mK(m,n) equation are derived. In addition, we also obtain the general solutions for mK(n,n) in higher dimensional spatial domains, even in N dimensional space.

UR - https://www.scopus.com/pages/publications/0037411686

U2 - 10.1016/S0960-0779(02)00485-X

DO - 10.1016/S0960-0779(02)00485-X

M3 - 文章

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Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive mK(m,n) equations

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