Emergent soliton-like solutions in the parametrically driven 1-D nonlinear Schr\'odinger equation

Autor: Dileep, K, Murugesh, S
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We numerically investigate the long time dynamics of spatially periodic breather solutions of the 1-D nonlinear Schr\"odinger equation under parametric forcing of the form $f(x)=f_0 \exp(iKx)$ along with dissipation. In the absence of dissipation, robust soliton-like excitations are observed that travel with constant amplitude and velocity. With dissipation, these solitons lose energy (and amplitude) yet gain speed - a characteristic not observed in an ordinary soliton. Moreover, these novel solitons are found to be stable against random perturbations.
Comment: 12 pages, 8 figures
Databáze: arXiv