Bright and dark solitary wave soliton solutions for the generalized higher order nonlinear Schrödinger equation and its stability

Aly R. Seadawy; Dianchen Lu

doi:10.1016/j.rinp.2016.11.038

Results in Physics (Jan 2017)

Bright and dark solitary wave soliton solutions for the generalized higher order nonlinear Schrödinger equation and its stability

Aly R. Seadawy,
Dianchen Lu

Affiliations

Aly R. Seadawy: Mathematics Department, Faculty of Science, Taibah University, Al-Ula, Saudi Arabia; Mathematics Department, Faculty of Science, Beni-Suef University, Egypt; Corresponding authors at: Mathematics Department, Faculty of Science, Taibah University, Al-Ula, Saudi Arabia (A.R. Seadawy). Department of Mathematics, Faculty of Science, Jiangsu University, China (D. Lu).
Dianchen Lu: Department of Mathematics, Faculty of Science, Jiangsu University, China; Corresponding authors at: Mathematics Department, Faculty of Science, Taibah University, Al-Ula, Saudi Arabia (A.R. Seadawy). Department of Mathematics, Faculty of Science, Jiangsu University, China (D. Lu).

DOI: https://doi.org/10.1016/j.rinp.2016.11.038
Journal volume & issue: Vol. 7
pp. 43 – 48

Abstract

Read online

The higher order nonlinear Schrödinger (NLS) equation describes ultra-short pluse propagation in optical fibres. By using the amplitude ansatz method, we derive the exact bright, dark and bright-dark solitary wave soliton solutions of the generalized higher order nonlinear NLS equation. These solutions for the generalized higher order nonlinear NLS equation are obtained precisely and efficiency of the method can be demonstrated. The stability of these solutions and the movement role of the waves are analyzed by applying the modulation instability analysis and stability analysis solutions. All solutions are exact and stable. MSC: 35G20, 35Q53, 37K10, 49S05, 76A60, Keywords: Generalized higher order NLS equation, Solitary wave solutions, Mathematical Physics methods

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: https://www.sciencedirect.com/journal/results-in-physics

About the journal