6 citations · 6 across the 1 of their papers we have counts for
4 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…
Highly controllable stabilization and switching of multiple colliding soliton sequences with generic Ginzburg-Landau gain-loss
Avner Peleg, Toan T. Huynh
We investigate propagation of J soliton sequences in a nonlinear optical waveguide array with generic weak Ginzburg-Landau (GL) gain-loss and nearest-neighbor (NN) interaction. The…
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…
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…