Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 52, Issue -, Pages 24-31Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2017.03.021
Keywords
Dynamic property; Rogue wave; Stripe soliton; Soliton fusion; Soliton fission
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Funding
- Global Change Research Program of China [201503953904]
- National Natural Science Foundation of China [11675054, 11435005]
- Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things [ZF1213]
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In this paper, a combination of stripe soliton and lump soliton is discussed to a reduced (3+1)-dimensional Jimbo-Miwa equation, in which such solution gives rise to two different excitation phenomena: fusion and fission. Particularly, a new combination of positive quadratic functions and hyperbolic functions is considered, and then a novel nonlinear phenomenon is explored. Via this method, a pair of resonance kink stripe solitons and rogue wave is studied. Rogue wave is triggered by the interaction between lump soliton and a pair of resonance kink stripe solitons. It is exciting that rogue wave must be attached to the stripe solitons from its appearing to disappearing. The whole progress is completely symmetry, the rogue wave starts itself from one stripe soliton and lose itself in another stripe soliton. The dynamic properties of the interaction between one stripe soliton and lump soliton, rogue wave are discussed by choosing appropriate parameters. (C) 2017 Elsevier B.V. All rights reserved.
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