Dispersion-managed solitons in fibre systems and lasers

SK Turitsyn, BG Bale, MP Fedoruk - Physics reports, 2012 - Elsevier
Nonlinear systems with periodic variations of nonlinearity and/or dispersion occur in a
variety of physical problems and engineering applications. The mathematical concept of …

Symplectic analysis on dynamic behaviors of tethered tug–debris system

W Hu, F Du, Z Zhai, F Zhang, Z Deng - Acta Astronautica, 2022 - Elsevier
As one of the potential active debris removal approaches, removal of space debris by a
tether tow may be applied to perform the large space debris removal mission. To remedy the …

[图书][B] Invariant measures for stochastic nonlinear Schrödinger equations

J Hong, X Wang, J Hong, X Wang - 2019 - Springer
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Numerical solution of coupled nonlinear Schrödinger equation by Galerkin method

MS Ismail - Mathematics and Computers in Simulation, 2008 - Elsevier
The coupled nonlinear Schrödinger equation models several interesting physical
phenomena presents a model equation for optical fiber with linear birefringence. In this …

Almost structure-preserving analysis for weakly linear damping nonlinear Schrödinger equation with periodic perturbation

W Hu, Z Deng, T Yin - … in Nonlinear Science and Numerical Simulation, 2017 - Elsevier
Exploring the dynamic behaviors of the damping nonlinear Schrödinger equation (NLSE)
with periodic perturbation is a challenge in the field of nonlinear science, because the …

[HTML][HTML] Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of …

M Dehghan, V Mohammadi - Computers & Mathematics with Applications, 2016 - Elsevier
In the present study, three numerical meshless methods are being considered to solve
coupled Klein–Gordon–Schrödinger equations in one, two and three dimensions. First, the …

Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system

J Cai, Y Wang, H Liang - Journal of Computational Physics, 2013 - Elsevier
In this paper, local energy and momentum conservation laws are proposed for the coupled
nonlinear Schrödinger system. The two local conservation laws are more essential than …

A meshfree approach for analysis and computational modeling of non-linear Schrödinger equation

R Jiwari, S Kumar, RC Mittal, J Awrejcewicz - Computational and Applied …, 2020 - Springer
In this article, the authors proposed a meshfree approach for simulation of non-linear
Schrödinger equation with constant and variable coefficients. Schrödinger equation is a …

A Chebyshev pseudospectral multidomain method for the soliton solution of coupled nonlinear Schrödinger equations

M Dehghan, A Taleei - Computer Physics Communications, 2011 - Elsevier
The collision of solitary waves is an important problem in both physics and applied
mathematics. In this paper, we study the solution of coupled nonlinear Schrödinger …

Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa–Holm equation

H Zhu, S Song, Y Tang - Computer Physics Communications, 2011 - Elsevier
In this paper, we develop a novel multi-symplectic wavelet collocation method for solving
multi-symplectic Hamiltonian system with periodic boundary conditions. Based on the …