On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion-Reference-Cited by-同舟云学术

On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion

Published:2021-01-01 Issue:1 Volume:19 Page:111-118
ISSN:2391-5471
Container-title:Open Physics
language:en
Short-container-title:

Author:

Rezazadeh Hadi¹,Adel Waleed²,Eslami Mostafa³,Tariq Kalim U.⁴⁵,Mirhosseini-Alizamini Seyed Mehdi⁶,Bekir Ahmet⁷,Chu Yu-Ming⁸⁹

Affiliation:

1. Faculty of Engineering Technology, Amol University of Special Modern Technological , Amol , Iran

2. Department of Mathematical Sciences, Faculty of Engineering, Mansoura University Mansoura , Egypt

3. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran , Babolsar , Iran

4. School of Mathematics and Statistics, Huazhong University of Science and Technology , Wuhan 430074 , China

5. Department of Mathematics, Mirpur University of Science and Technology , Mirpur (AJK)10250 , Pakistan

6. Department of Mathematics, Payame Noor University , Tehran 19395-3697 , Iran

7. Neighbourhood of Akcaglan, Imarli Street, Number: 28/4 , 26030 , Eskisehir , Turkey

8. Department of Mathematics, Huzhou University , Huzhou 313000 , China

9. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology , Changsha 410114 , China

Abstract

Abstract In this article, the sine-Gordon expansion method is employed to find some new traveling wave solutions to the nonlinear Schrödinger equation with the coefficients of both group velocity dispersion and second-order spatiotemporal dispersion. The nonlinear model is reduced to an ordinary differential equation by introducing an intelligible wave transformation. A set of new exact solutions are observed corresponding to various parameters. These novel soliton solutions are depicted in figures, revealing the new physical behavior of the acquired solutions. The method proves its ability to provide good new approximate solutions with some applications in science. Moreover, the associated solution of the presented method can be extended to solve more complex models.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2021-0013/pdf

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