期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 37, 期 -, 页码 362-373出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2016.01.023
关键词
Bell polynomials; Jimbo-Miwa equation; Lax system; Backlund transformations; Infinite conservation laws; Extended three wave method
Based on binary Bell polynomial approach, the bilinear equation and Backlund transformations for (3+1)-dimensional Jimbo-Miwa equation are obtained. By virtue of Cole-Hopf transformation, Lax system is constructed by direct linearization of coupled system of binary Bell polynomials. Furthermore, infinite conservation laws are obtained from two field condition in quick and natural way. Finally, a test function of extended three wave method is used to construct multisoliton solutions via bilinear equation. (C) 2016 Elsevier B.V. All rights reserved.
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