Abstract

In this paper, we consider the generalized higher-order nonlinear Schrödinger equation model with variable coefficients and obtain an exact dark soliton solution in explicit form for specified soliton management conditions. As an example, we consider a soliton control system, and present the main features of the dark soliton solution. Further, the stability of the dark soliton solution is numerically studied under the finite perturbations. Especially, we discuss the integrable conditions and the results reveal that the soliton control system may relax the limitations to parametric conditions. Finally, we investigate the interaction between neighboring femtosecond dark solitons under the combined control of the group velocity dispersion, third-order dispersion and the nonlinearity.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.