Finite difference scheme for a higher order nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Finite difference scheme for a higher order nonlinear Schrödinger equation
zbMATH Open document ID: 1427.65147
author: Mauricio A. Sepúlveda C.
author: Rodrigo Véjar-Asem
author: M. M. Cavalcanti
author: Wellington José Corrêa
published in: Calcolo
publication date: 2019-11-29T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 78M20
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A60
zbMATH DE Number: 7138879
zbMATH Keywords: finite difference
zbMATH Keywords: higher-order
zbMATH Keywords: nonlinear Schrödinger
zbMATH Keywords: optical solitons
zbMATH Keywords: conservation laws
MaRDI profile type: Publication
full work available at URL: s10092-019-0336-1
OpenAlex ID: W2978114709
cites work: Q3925229
cites work: Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
cites work: On solving pentadiagonal linear systems via transformations
cites work: A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
cites work: Periodic nonlinear Schrödinger equation and invariant measures
cites work: Sharp global well-posedness for a higher order Schrödinger equation
cites work: Qualitative aspects for the cubic nonlinear Schrödinger equations with localized damping: exponential and polynomial stabilization
cites work: Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
cites work: Finite-difference solutions of a non-linear Schrödinger equation
cites work: KdV equation in domains with moving boundaries
cites work: Discrete Variational Derivative Method
cites work: Exact envelope-soliton solutions of a nonlinear wave equation
cites work: Compact finite difference schemes with spectral-like resolution
cites work: Q5890172
cites work: Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with damping
cites work: New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
cites work: A compact split step Padé scheme for higher-order nonlinear Schrödinger equation (HNLS) with power law nonlinearity and fourth order dispersion
cites work: Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity
cites work: Q4514454
cites work: Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity
cites work: Sasa-Satsuma equation, unstable plane waves and heteroclinic connections
cites work: The initial-boundary value problem for the Sasa-Satsuma equation on a finite interval via the Fokas method
DOI: 10.1007/S10092-019-0336-1
description: scientific article; zbMATH DE number 7138879