Soliton Solution of Mnls/dnls Equation With Nonvanishing Boundary Condition Based on Hirota Method
Year: 2023
Type: article
Abstract: Hirota's bilinear derivative transformation is a direct method which is more convenient than the inverse scattering transform to deal with a nonlinear partial deferential equation. Based on Hirota's method, the soliton solutions of the modified nonlinear Schrdinger (MNLS) equation under standing wave boundary condition, are obtained; and by simple method of parameter vanishing, the corresponding soliton solutions of the derivative nonlinear Schrdinger (DNLS) equation under constant nonvanishing boundary condition, are gotten, which allows the existence of both bright and dark solitons. The evolution of bright/ dark-soliton solutions in time and space is demonstrated in figures. The results are consistent with what were obtained by the inverse scattering transform.
Source: Wuli yu gongcheng.
Authors: Guoquan ZHOU, Runjia LUO, Ying QI
Institution: Wuhan University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4405435344