Degenerate soliton solutions and their interactions in coupled Hirota equation with trivial and nontrivial background

Monisha, S and Priya, NV and Senthilvelan, M (2023) Degenerate soliton solutions and their interactions in coupled Hirota equation with trivial and nontrivial background. In: Nonlinear Dynamics .

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Abstract

We construct two kinds of degenerate soliton solutions, one on the zero background and another on the plane wave background for the coupled Hirota equation. In the case of zero background field, we derive positon solutions of various orders. We also study interaction dynamics between positon solutions through asymptotic analysis and show that the positons exhibit time dependent phase shift during collision. We also construct hybrid solutions which composed of positons and solitons and examine the interaction between higher order positon and multi-solitons in detail. From the interaction, we demonstrate that the occurrence of elastic and inelastic interaction between multi-solitons and higher order positons. Further, we construct bound states among solitons and positons for the coupled Hirota equation. In the case of plane wave background, we construct breather-positon solutions. For the coupled Hirota equation, the breather-positon solutions are being reported first time in the literature. From the breather-positon solutions, we bring out certain interesting collision dynamics between breather-positons and positons. © 2023, The Author(s), under exclusive licence to Springer Nature B.V.

Item Type:	Journal Article
Publication:	Nonlinear Dynamics
Publisher:	Springer Science and Business Media B.V.
Additional Information:	The copyright for this article belongs to Springer Science and Business Media B.V.
Keywords:	Asymptotic analysis; Elastic waves; Nonlinear equations; Wave propagation, Breather; Coupled hirotum equation; Darboux transformation method; Generalized darboux transformation method; High-order; Hirota equation; Nonlinear waves; Plane wave; Positons; Soliton solutions, Solitons
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	04 Mar 2024 09:28
Last Modified:	04 Mar 2024 09:28
URI:	https://eprints.iisc.ac.in/id/eprint/84356

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