Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation

DOI10.1016/j.cam.2010.09.017zbMath1220.65176OpenAlexW2031952389MaRDI QIDQ555167

Bülent Karasözen, Ayhan Aydin

Publication date: 22 July 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.09.017

zbMATH Keywords

numerical resultsperiodic solutionsnumerical examplesnonlinear Schrödinger equationsolitonsRunge-Kutta methodsolitary wave solutionselastic and inelastic collisionsLobatto IIIA-IIIB methodsmulti-symplectic integration

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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