Zobrazeno 1 - 10
of 140
pro vyhledávání: '"Huynh, Toan T."'
Publikováno v:
Appl. Numer. Math. 205 (2024) 215
Solitons of the purely cubic nonlinear Schr\"odinger equation in a space dimension of $n \geq 2$ suffer critical and supercritical collapses. These solitons can be stabilized in a cubic-quintic nonlinear medium. In this paper, we analyze the Crank-Ni
Externí odkaz:
http://arxiv.org/abs/2407.12311
Autor:
Peleg, Avner, Huynh, Toan T.
Publikováno v:
Physica D 466 (2024) 134222
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 propagation is described by a system of J perturbed coupled nonlinear
Externí odkaz:
http://arxiv.org/abs/2401.17685
Publikováno v:
Comput. Math. Appl. 167 (2024) 160
We analyze a Crank-Nicolson finite difference discretization for the perturbed (2+1)D nonlinear Schr\"odinger equation with saturable nonlinearity and a perturbation of cubic loss. We show the boundedness, the existence and uniqueness of a numerical
Externí odkaz:
http://arxiv.org/abs/2306.12287
Autor:
Peleg, Avner, Huynh, Toan T.
Publikováno v:
Indian J Phys 98, 1365-1385 (2024)
We investigate the dynamics of fast two-pulse collisions in linear diffusion-advection systems with weak quadratic loss in spatial dimension 2. We introduce a two-dimensional perturbation method, which generalizes the perturbation method used for stu
Externí odkaz:
http://arxiv.org/abs/2211.04303
Autor:
Peleg, Avner, Huynh, Toan T.
Publikováno v:
Optics 271 (2022) 170156
We investigate fast collisions between pulsed optical beams in a linear medium with weak cubic loss that arises due to nondegenerate two-photon absorption. We introduce a perturbation method with two small parameters and use it to obtain general form
Externí odkaz:
http://arxiv.org/abs/2209.09113
Publikováno v:
In Computers and Mathematics with Applications 1 August 2024 167:160-177
Publikováno v:
Journal of Engineering Mathematics 132, 23 (2022)
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 theory that was developed for analyzing two-pulse collisions in spatial di
Externí odkaz:
http://arxiv.org/abs/2102.07438
Autor:
Nguyen, Quan M., Huynh, Toan T.
Publikováno v:
Nonlinear Dynamics (2021)
We study the amplitude dynamics of two-dimensional (2D) solitons in a fast collision described by the coupled nonlinear Schr\"odinger equations with a saturable nonlinearity and weak nonlinear loss. We extend the perturbative technique for calculatin
Externí odkaz:
http://arxiv.org/abs/2005.00802
Akademický článek
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Publikováno v:
Indian J Phys 96, 453-472 (2022)
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. The behavior is demonstrated for linear optical waveguides with weak c
Externí odkaz:
http://arxiv.org/abs/1808.04323