期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 76, 期 1, 页码 179-186出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2018.04.013
关键词
A (2+1)-dimensional generalized breaking soliton equation; Solitary waves; Breather waves; Rogue waves; Bell's polynomials
资金
- Fundamental Research Fund for the Central Universities [2017XKQY101]
We consider a (2+1)-dimensional generalized breaking soliton (gBS) equation, which describes the interaction of the Riemann wave propagated along the y-axis with a long wave propagated along the x-axis. By using Bell's polynomials, we derive a bilinear form of the gBS equation. Based on the resulting Hirota's bilinear equation, we explicitly construct its soliton solutions. Furthermore, by using the extended homoclinic test theory, its homoclinic breather waves and rogue waves are well derived, respectively. It is hoped that our results can enrich the dynamical behavior of the gBS-type equations. (C) 2018 Elsevier Ltd. All rights reserved.
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