Abstract
We consider discrete nonlocal nonlinear Schrödinger equation proposed earlier by Ablowitz and Musslimani, on a branched 1D lattice, presented in terms of the graphs with discrete bonds. The soliton solutions are derived for some simplest (star and tree) graphs. Numerical solutions are obtained for the cases, when the problem does not approve the analytical one. Integrability of the problem is shown by proving existence of infinite number of conservation laws.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.