Discrete nonlocal nonlinear Schrödinger equation on graphs: Dynamics of PT-symmetric solitons in discrete networks

M Akramov,F Khashimova,D Matrasulov

doi:10.1016/j.physleta.2022.128555

Discrete nonlocal nonlinear Schrödinger equation on graphs: Dynamics of PT-symmetric solitons in discrete networks

M Akramov, F Khashimova + Show 1 more

Open Access

https://doi.org/10.1016/j.physleta.2022.128555

Copy DOI

Journal: Physics Letters A	Publication Date: Nov 22, 2022
Citations: 2

Affiliation: Turin Polytechnic University, National University of Uzbekistan, Navoi State Mining Institute

#Infinite Number Of Conservation Laws #Discrete Networks + Show 8 more

Abstract
Full-Text PDF
Similar Papers

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.

Full Text