Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 76, Issue 1, Pages 179-186Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2018.04.013
Keywords
A (2+1)-dimensional generalized breaking soliton equation; Solitary waves; Breather waves; Rogue waves; Bell's polynomials
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Funding
- Fundamental Research Fund for the Central Universities [2017XKQY101]
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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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