Lobatto IIIA–IIIB discretization of the strongly coupled nonlinear Schrödinger equation
Date
2009-12-24
Authors
Journal Title
Journal ISSN
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Publisher
Journal of Computational and Applied Mathematics
Abstract
In this paper, we construct a second order semi-explicit multi-symplectic integrator for the
strongly coupled nonlinear Schrödinger equation based on the two-stage Lobatto IIIA–IIIB
partitioned Runge–Kutta method. Numerical results for different solitary wave solutions
including elastic and inelastic collisions, fusion of two solitons and with periodic solutions
confirm the excellent long time behavior of the multi-symplectic integrator by preserving
global energy, momentum and mass.
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Keywords
mathematics