Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 75, Issue 12, Pages 4214-4220Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2018.03.023
Keywords
(4+1)-dimensional Fokas equation; Rogue wave solution; Stripe soliton; Fusion and fission; Parameter limit method; Hirota's bilinear method
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Funding
- Hunan Provincial Natural Science Foundation of China [2016116122]
- National Natural Science Foundation of P.R. China [11661037, 11471109]
- Scientific Research Project of Education Department of Hunan Province [17C1297]
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A new Hirota's bilinear form of the (4+1)-dimensional Fokas equation is obtained by an appropriate wave transformation. Applying the parameter limit method introduced in this paper, we obtain two homoclinic solutions and a rogue wave solution of (4+1)-dimensional Fokas equation. Besides, we also discuss the interaction between rogue wave solution and different forms of stripe solitons (one stripe soliton and double stripe solitons), and investigate the annihilation and emergence of rogue waves. Finally, the parametric reasons of soliton fusion and fission are discussed, furthermore, the fusion and fission phenomena of soliton are simulated by three-dimensional plots. (C) 2018 Elsevier Ltd. All rights reserved.
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