Iteration of some discretizations of the nonlinear Schrödinger equation

DOI10.1016/0378-4371(86)90159-7zbMath0664.65116OpenAlexW2072949943MaRDI QIDQ1115152

Kenneth A. Ross, Colin J. Thompson

Publication date: 1986

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(86)90159-7

zbMATH Keywords

iterationorbitsnonlinear Schrödinger equationloopssymmetric difference equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05)

Related Items

Exact localized solutions of quintic discrete nonlinear Schrödinger equation, On exact discretization of cubic-quintic Duffing oscillator, Integrable Duffing's maps and solutions of the Duffing equation, Global periodic structure of integrable Duffing's maps., Nonlinear nonautonomous discrete dynamical systems from a general discrete isomonodromy problem, The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy, Integrable mappings and soliton equations. II, Exceptional Discretizations of the NLS: Exact Solutions and Conservation Laws

Cites Work

• Linear integral equations and nonlinear difference-difference equations
• Exact solution of a difference approximation to Duffing's equation
• Best difference equation approximation to Duffing's equation