2 papers
physics.comp-ph2021
NonlinearSchrodinger: Higher-Order Algorithms and Darboux Transformations for Nonlinear Schrödinger Equations
Omar A. Ashour
NonlinearSchrodinger.jl is a Julia package with a simple interface for studying solutions of nonlinear Schrödinger equations (NLSEs). In approximately ten lines of code, one can pe…
nlin.PS2018
Higher-order Breathers as Quasi-rogue Waves on a Periodic Background
Omar A. Ashour, Siu A. Chin, Stanko N. Nikolić +1
We investigate higher-order breathers of the cubic nonlinear Schrödinger equation on an elliptic background. We find that, beyond first-order, any arbitrarily constructed breather…