Discrete rogue waves and blow-up from solitons of a nonisospectral semi-discrete nonlinear Schrodinger equation

We investigate the nonisospectral effects of a semi-discrete nonlinear Schrodinger equation, which is a direct integrable discretization of its continuous counterpart. Bilinear form and double Casoratian solution of the equation are presented. Dynamics of solutions are analyzed. Both solitons and multiple pole solutions admit space-time localized rogue wave behavior. And more interestingly, the solutions allow blow-up at finite time t. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

The investigation on the nonisospectral effects of a semi-discrete nonlinear Schrodinger equation reveals that the solutions exhibit rogue wave behavior in both space and time, and allow blow-up at finite time t. Solitons and multiple pole solutions are analyzed for their dynamics, showing interesting characteristics in their localized behavior.