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Kinky breathers, multi-peak and multi-wave soliton solutions for the nonlinear propagation of Kundu–Eckhaus dynamical model

K. El-Rashidy

https://orcid.org/0000-0003-2694-5961

Mathematics Department, College of Arts and Science, Taif University, Ranyah, Saudi Arabia

E-mail Address: k.sayed@tu.edu.sa

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and

Aly R. Seadawy

Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

E-mail Address: aly@ujs.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0217979220503178Cited by:14 (Source: Crossref)

Abstract

The multi-wave solutions for nonlinear Kundu–Eckhaus (KE) equation are obtained using logarithmic transformation and symbolic computation using the function method. Three-wave method, double exponential and homoclinic breather approach are used to get these solutions. We study the conflict between our results and considerably-known results and state that the solutions reached here are new. By specifying the suitable values for the parameter, the drawings of the solutions obtained are shown in this paper.

Keywords:

PACS: 02.30.Jr, 05.45.Yv, 47.10.A, 47.35.+i, 47.35.Fg

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