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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article; Proceedings Paper

Aydin, A.³  Karasozen, B.^1,2 

[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey

[2] Middle E Tech Univ, Inst Appl Math, TR-06531 Ankara, Turkey

[3] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

关键词: Nonlinear Schrodinger equation;    Multi-symplectic integration;    Lobatto IIIA-IIIB methods;    Solitons;   

DOI  :  10.1016/j.cam.2010.09.017

来源: Elsevier

【 摘 要 】

In this paper, we construct a second order semi-explicit multi-symplectic integrator for the strongly coupled nonlinear Schrodinger 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. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free