Abstract
The present work studies the inverse scattering transforms (IST) of the inhomogeneous fifth-order nonlinear Schrödinger (NLS) equation with zero boundary conditions (ZBCs) and nonzero boundary conditions (NZBCs). Firstly, the bound-state solitons of the inhomogeneous fifth-order NLS equation with ZBCs are derived by the residue theorem and the Laurent’s series for the first time. Then, by combining with the robust IST, the Riemann-Hilbert (RH) problem of the inhomogeneous fifth-order NLS equation with NZBCs is revealed. Furthermore, based on the resulting RH problem, some new rogue wave solutions of the inhomogeneous fifth-order NLS equation are found by the Darboux transformation. Finally, some corresponding graphs are given by selecting appropriate parameters to further analyze the unreported dynamic characteristics of the corresponding solutions.
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 callDisclaimer: 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.
