Extension of the Ablowitz-Ladik method to the derivative nonlinear Schrödinger equation

DOI10.1016/0021-9991(88)90137-4zbMath0651.65090OpenAlexW2007372727WikidataQ60660354 ScholiaQ60660354MaRDI QIDQ1106647

Silvina Ponce Dawson, Constantino Ferro Fontán

Publication date: 1988

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90137-4

zbMATH Keywords

derivative nonlinear Schrödinger equationnonlinear evolution equationAblowitz-Ladik scheme

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

A numerical energy conserving method for the DNLS equation

Cites Work

• Analytical and numerical aspects of certain nonlinear evolution equations. I. Analytical
• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
• An exact solution for a derivative nonlinear Schrödinger equation
• On the Solution of a Class of Nonlinear Partial Difference Equations

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