Journal
APPLIED MATHEMATICAL MODELLING
Volume 74, Issue -, Pages 184-198Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2019.04.044
Keywords
Hirota bilinear method; Lump solution; Interaction solution; Symbolic computation
Funding
- Fundamental Research Funds for the Central Universities of China [2018RC031]
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In this paper, we focus on the interaction behavior associated with a generalized (2+1)-dimensional Hirota bilinear equation. With symbolic computation, two types of interaction solutions including lump-kink and lump-soliton ones are derived through mixing two positive quadratic functions with an exponential function, or two positive quadratic functions with a hyperbolic cosine function in the bilinear equation. The completely non-elastic interaction between a lump and a stripe is presented, which shows the lump is drowned or shallowed by the stripe. The interaction between lump and soliton is also given, where the lump moves from one branch to the other branch of the soliton. These phenomena exhibit the dynamics of nonlinear waves and the solutions are useful for the study on interaction behavior of nonlinear waves in shallow water, plasma, nonlinear optics and Bose-Einstein condensates. (C) 2019 Elsevier Inc. All rights reserved.
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