The multi-positon and breather positon solutions for the higher-order nonlinear Schrödinger equation in optical fibers

Author:

Zhang XiORCID,Wang Yu-Feng,Yang Sheng-XiongORCID

Abstract

Abstract Under investigation in this paper is the higher-order nonlinear Schrödinger equation, which can imitate the ultrashort pulses propagation in optical fibers. The modulation instability is analyzed based on the plane-wave solution. With the help of the generalized Darboux transformation, the second-, third- and fourth-order positon solutions are constructed. Furthermore, the second-, third- and fourth-order breather positon solutions are obtained, and the influences of parameters for the characteristics of solutions are analyzed.

Funder

National Natural Science Foundation of China

Publisher

IOP Publishing

Reference39 articles.

1. Experimental observations of breathing dissipative soliton explosions;Peng;Phys. Rev. Appl.,2019

2. Breather wave molecules;Xu;Phys. Rev. Lett.,2019

3. Subharmonic entrainment breather solitons in ultrafast lasers;Xian;Phys. Rev. Lett.,2020

4. Rogue wave observation in a water wave tank;Chabchoub;Phys. Rev. Lett.,2011

5. A comparative study of the explicit finite difference method and physics-informed;Savović;Neural Networks for Solving the Burgers’ Equation. Axioms.,2023

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