Numerical methods for the derivative nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Numerical methods for the derivative nonlinear Schrödinger equation
zbMATH Open document ID: 1401.65094
author: Y. Aharonov
published in: International Journal of Nonlinear Sciences and Numerical Simulation
publication date: 2018-08-20T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 6920894
zbMATH Keywords: derivative nonlinear Schrödinger equation
zbMATH Keywords: compact methods
zbMATH Keywords: binary collision
zbMATH Keywords: random perturbation
MaRDI profile type: Publication
full work available at URL: ijnsns-2016-0184
OpenAlex ID: W2806310840
cites work: Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
cites work: High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrödinger Equations
cites work: An exact solution for a derivative nonlinear Schrödinger equation
cites work: Soliton solutions of DNLS equation found by IST anew and its verification in Marchenko formalism
cites work: Multisoliton solutions of a derivative nonlinear Schrödinger equation
cites work: Q4828547
cites work: Darboux transformation of the second-type derivative nonlinear Schrödinger equation
cites work: New integrable systems of derivative nonlinear Schrödinger equations with multiple components
cites work: Special derivative nonlinear Schrödinger (DNLS) systems exhibiting 2-soliton solutions
cites work: Jost solutions and quantum conserved quantities of an integrable derivative nonlinear Schrödinger model
cites work: A three-point combined compact difference scheme
cites work: Compact finite difference schemes with spectral-like resolution
cites work: Ground States and Dynamics of Spin-Orbit-Coupled Bose--Einstein Condensates
cites work: A combined discontinuous Galerkin method for the dipolar Bose-Einstein condensation
cites work: A mass conserved splitting method for the nonlinear Schrödinger equation
cites work: The finite element method for computing the ground states of the dipolar Bose-Einstein condensates
cites work: Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
DOI: 10.1515/IJNSNS-2016-0184
description: scientific article; zbMATH DE number 6920894