Abstract
In this paper, we explore the dynamics of degenerate and non-degenerate solutions of the PT-symmetric nonlocal integrable discrete nonlinear Schrödinger equation (ID-NLSE). Darboux transformation is applied to the associated linear eigenvalue problem also known as Ablowitz-Ladik (AL) scheme, and higher order non-trivial solutions are expressed in terms of ratio of the determinants. We use the Taylor series expansion to generates higher order degenerate soliton and breathing solutions. The determinant formula also enables to calculate the non-degenerate solution of PT-symmetric nonlocal ID-NLSE. Under the continuum limit one can easily recover the degenerate and non-degenerate solutions of PT-symmetric nonlocal NLSE.
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.
