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Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave–short-wave system

Nonlinear Dynamics, ISSN: 1573-269X, Vol: 108, Issue: 1, Page: 543-554
2022
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Article Description

In this paper, we will obtain the exact N-soliton solution of the coupled long-wave–short-wave system via the developed Hirota bilinear method. Through manipulating the relevant parameters, we will construct different types of solutions which include breather-like solutions and dark-soliton-breather-like solutions. Moreover, we will demonstrate that the interactions of two-soliton and two-breather-like solutions are all elastic through asymptotic analysis method. Finally, we will display the interactions through illustrations.

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