Exact Solutions of Two High Order Derivative Nonlinear Schrödinger Equations: Dynamical System Method
Year: 2025
Type: article
Abstract: For two generalization models of the first type derivative nonlinear Schrödinger (DNLSI) equation and the second type derivative nonlinear Schrödinger (DNLSII) equation, by using the method of dynamical systems to investigate the existence of exact explicit solutions with the form $ q(x,t)=\phi(\xi)\exp{[i(\kappa x-\omega t+\theta(\xi))]}, \xi=x-ct. $ This paper show that in some given parameter conditions, explicit exact parametric representations of $ \phi(\xi)$ and $\theta(\xi) $ can be given.
DOI: 10.11948/20240451
Authors: Zhilong Shi, Linru Nie, Jibin Li
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411533678