Inverse scattering transform numerical schemes for nonlinear evolution equations and the method of lines

DOI10.1016/0168-9274(95)00125-5zbMath0940.65099OpenAlexW1968320112MaRDI QIDQ1917452

Thiab R. Taha

Publication date: 19 July 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00125-5

zbMATH Keywords

numerical exampleinverse scattering transformmethod of linesnonlinear evolution equationsdifferential-difference equationsnonlinear SchrödingerKorteweg-de Vries

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (2)

Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation ⋮ A Padé compact high-order finite volume scheme for nonlinear Schrödinger equations

Cites Work

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• A differential-difference equation for a KdV-MKdV equation
• Method of lines solution of the Korteweg-de Vries equation
• Numerical homoclinic instabilities and the complex modified Korteweg-de Vries equation
• Wave Propagation in Nonlinear Lattice. I
• Nonlinear differential−difference equations
• The inverse scattering transform: Semi-infinite interval
• On the Solution of a Class of Nonlinear Partial Difference Equations
• NUMERICAL SIMULATION OF THE KdV-MKdV EQUATION

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