18 citations · 126 across the 17 of their papers we have counts for
17 papers
A Finite Difference Scheme for (2+1)D Cubic-Quintic Nonlinear Schrödinger Equations with Nonlinear Damping
Anh Ha Le, Toan T. Huynh, Quan M. Nguyen
Solitons of the purely cubic nonlinear Schrödinger equation in a space dimension of suffer critical and supercritical collapses. These solitons can be stabilized in a cu…
Analysis of a Crank-Nicolson finite difference scheme for (2+1)D perturbed nonlinear Schrödinger equations with saturable nonlinearity
Anh-Ha Le, Toan T. Huynh, Quan M. Nguyen
We analyze a Crank-Nicolson finite difference discretization for the perturbed (2+1)D nonlinear Schrödinger equation with saturable nonlinearity and a perturbation of cubic loss. W…
Elementary Methods for Infinite Resistive Networks with Complex Topologies
Tung X. Tran, Linh K. Nguyen, Quan M. Nguyen +3
Finding the equivalent resistance of an infinite ladder circuit is a classical problem in physics. We expand this well-known challenge to new classes of network topologies, in whic…
Fast two-beam collisions in a linear optical medium with weak cubic loss in spatial dimension higher than 1
Avner Peleg, Toan T. Huynh, Quan M. Nguyen
We study the dynamics of fast two-beam collisions in linear optical media with weak cubic loss in spatial dimension higher than 1. For this purpose, we extend the perturbation theo…
Infinite AC Ladder with a "Twist"
Quan M. Nguyen, Linh K. Nguyen, Tung X. Tran +3
The infinite AC ladder network can exhibit unexpected behavior. Entangling the topology brings even more surprises, found by direct numerical investigation. We consider a simple mo…
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…
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.…
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…
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…
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…
Stabilizing soliton-based multichannel transmission with frequency dependent linear gain-loss
Debananda Chakraborty, Avner Peleg, Quan M. Nguyen
We report several major theoretical steps towards realizing stable long-distance multichannel soliton transmission in Kerr nonlinear waveguide loops. We find that transmission dest…
Stable scalable control of soliton propagation in broadband nonlinear optical waveguides
Avner Peleg, Quan M. Nguyen, Toan T. Huynh
We develop a method for achieving scalable transmission stabilization and switching of colliding soliton sequences in optical waveguides with broadband delayed Raman response a…
Transmission stability and Raman-induced amplitude dynamics in multichannel soliton-based optical waveguide systems
Avner Peleg, Quan M. Nguyen, Thinh P. Tran
We study transmission stability and dynamics of pulse amplitudes in -channel soliton-based optical waveguide systems, taking into account second-order dispersion, Kerr nonlinear…
Robust transmission stabilization and dynamic switching in broadband hybrid waveguide systems with nonlinear gain and loss
Quan M. Nguyen, Avner Peleg, Thinh P. Tran
We develop a method for transmission stabilization and robust dynamic switching for colliding optical soliton sequences in broadband waveguide systems with nonlinear gain and loss.…
Many-body interaction in fast soliton collisions
Avner Peleg, Quan M. Nguyen, Paul Glenn
We study -pulse interaction in fast collisions of solitons of the cubic nonlinear Schrödinger (NLS) equation in the presence of generic weak nonlinear loss. We develop a red…
Deterministic Raman crosstalk effects in amplified wavelength division multiplexing transmission
Quan M. Nguyen, Avner Peleg
We study the deterministic effects of Raman-induced crosstalk in amplified wavelength division multiplexing (WDM) optical fiber transmission lines. We show that the dynamics of pul…
Diverging probability density functions for flat-top solitary waves
Avner Peleg, Yeojin Chung, Tomáš Dohnal +1
We investigate the statistics of flat-top solitary wave parameters in the presence of weak multiplicative dissipative disorder. We consider first propagation of solitary waves of t…