Interaction behavior associated with a generalized (2+1)-dimensional Hirota bilinear equation for nonlinear waves

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 ex...

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Veröffentlicht in:Applied Mathematical Modelling Jg. 74; S. 184
Hauptverfasser: Hua, Yan-Fei, Guo, Bo-Ling, Ma, Wen-Xiu, Lü, Xing
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Elsevier BV 01.10.2019
Schlagworte:
Bose-Einstein condensates
Exponential functions
Hyperbolic functions
Nonlinear dynamics
Nonlinear optics
Quadratic equations
Shallow water
Solitary waves
Trigonometric functions
ISSN:1088-8691, 0307-904X
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Zusammenfassung: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.
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ISSN:1088-8691
0307-904X
DOI:10.1016/j.apm.2019.04.044