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- Title
Dynamical properties, chirped solutions, and chaotic behaviors of the extended nonlinear Schrödinger equation.
- Authors
Tang, Jia‐Xuan
- Abstract
In this paper, we focus on an extended nonlinear Schrödinger equation describing the pulse propagation in a nonlinear Schrödinger equation with self‐steepening and magneto‐optic effects. The existence of periodic and solitary solutions are proved based on the bifurcation method, and also, the Hamiltonian properties and the classification of its equilibrium points are obtained. The chirped solutions of the extended nonlinear Schrödinger equations are obtained by using the complete discrimination system for polynomial method, and under specific parameter conditions, three types of optical wave patterns are obtained to visualize the model. In particular, we consider the external perturbation terms to analyze the chaotic behavior of this equation.
- Subjects
NONLINEAR Schrodinger equation; SCHRODINGER equation; HAMILTONIAN systems
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 9, p7473
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9983