Kinky breathers, multi-peak and multi-wave soliton solutions for the nonlinear propagation of Kundu–Eckhaus dynamical model-Reference-Cited by-同舟云学术

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

Published:2020-11-12 Issue:32 Volume:34 Page:2050317
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

El-Rashidy K.¹^ORCID,Seadawy Aly R.²

Affiliation:

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979220503178

Reference33 articles.

1. Landau–Lifshitz and higher‐order nonlinear systems gauge generated from nonlinear Schrödinger‐type equations

2. Exact solutions to higher-order nonlinear equations through gauge transformation

3. Nonlinear evolution equations, rescalings, model PDES and their integrability: I

4. The Eckhaus PDE iψ t + ψ xx + 2(|ψ| 2 ) x ψ + |ψ| 4 ψ = 0

5. Bright and dark soliton solutions and Bäcklund transformation for the Eckhaus–Kundu equation with the cubic–quintic nonlinearity

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Application of the generalized unified method to solve (2+1)-dimensional Kundu–Mukherjee–Naskar equation;Optical and Quantum Electronics;2023-04-11

2. Lax pair, Darboux transformation, Weierstrass–Jacobi elliptic and generalized breathers along with soliton solutions for Benjamin–Bona–Mahony equation;International Journal of Modern Physics B;2023-02-16

3. Chirped optical wave solutions for a nonlinear model with parabolic law and competing weakly nonlocal nonlinearities;Optical and Quantum Electronics;2022-09-27

4. Chirped optical pulses for generalized longitudinal Lugiato Lefever: cubic nonlinear Schrödinger equation;Optical and Quantum Electronics;2022-08-24

5. Dispersive optical solitons along with integrability test and one soliton transformation for saturable cubic-quintic nonlinear media with nonlinear dispersion;Journal of Geometry and Physics;2022-07