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Zbl 1050.65127
Chen, Jing-Bo; Qin, Meng-Zhao; Tang, Yi-Fa
Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation. (English)
[J] Comput. Math. Appl. 43, No. 8-9, 1095-1106 (2002). ISSN 0898-1221

Summary: The Hamiltonian and the multi-symplectic formulations of the nonlinear Schrödinger equation are considered. For the multi-symplectic formulation, a new six-point difference scheme which is equivalent to the multi-symplectic Preissman integrator is derived. Numerical experiments are also reported.
MSC 2000:
*65P10 Hamiltonian systems including symplectic integrators
37M15 Symplectic integrators
37K05 Hamiltonian structures, etc.

Keywords: nonlinear Schrödinger equation; Hamiltonian; six-point difference scheme; Preissman integrator; numerical experiments; local energy conservation

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