Capturing of solitons collisions and reflections in nonlinear Schrödinger type equations by a conservative scheme based on MOL

DOI10.1186/s13662-021-03505-7zbMath1494.65082OpenAlexW3186959823MaRDI QIDQ2167093

Mohamed M. Mousa, Fahad Alsharari, Shaher Momani, Praveen Agarwal

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03505-7

zbMATH Keywords

nonlinear Schrödinger equationmethod of linescoupled nonlinear Schrödinger equationsoliton collisionsoliton reflection

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Soliton solutions (35C08)

Related Items (4)

Numerical analysis of block-by-block method for a class of fractional relaxation-oscillation equations ⋮ Spectral semi-discretization algorithm for a class of nonlinear parabolic PDEs with applications ⋮ Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity ⋮ Approximation properties of complex genuine α–Bernstein‐Durrmeyer operators

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