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20172024
most citedAnalysis of a Crank-Nicolson finite difference scheme for (2+1)D perturbed nonlinear Schrödinger equations with saturable nonlinearity

8 citations · 14 across the 2 of their papers we have counts for

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5 papers · 1 filter

nlin.PS2020

Collision-induced amplitude dynamics of fast 2D solitons in saturable nonlinear media with weak nonlinear loss

Quan M. Nguyen, Toan T. Huynh

We study the amplitude dynamics of two-dimensional (2D) solitons in a fast collision described by the coupled nonlinear Schrödinger equations with a saturable nonlinearity and weak…

nlin.PS2018

Universality of the amplitude shift in fast two-pulse collisions in weakly perturbed linear physical systems

Quan M. Nguyen, Toan T. Huynh, Avner Peleg

We demonstrate that the amplitude shifts in fast two-pulse collisions in perturbed linear physical systems with weak nonlinear dissipation exhibit universal soliton-like behavior.…

nlin.PS2018

Collision-induced amplitude dynamics of pulses in linear waveguides with the generic nonlinear loss

Quan M. Nguyen

We study the effects of the generic weak nonlinear loss on fast two-pulse interactions in linear waveguides. The colliding pulses are described by a system of coupled Schrödinger e…

nlin.PS2018

Frequency shifting for solitons based on transformations on the Fourier domain and applications

Quan M. Nguyen, Toan T. Huynh

We develop the theoretical procedures for shifting the frequency of a single soliton and of a sequence of solitons of the nonlinear Schrödinger equation. The procedures are based o…

nlin.PS2017

Soliton-like behavior in fast two-pulse collisions in weakly perturbed linear physical systems

Avner Peleg, Quan M. Nguyen, Toan T. Huynh

We demonstrate that pulses of linear physical systems, weakly perturbed by nonlinear dissipation, exhibit soliton-like behavior in fast collisions. The behavior is demonstrated for…