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Zbl 1103.65130
Chen, Jing-Bo
A multisymplectic integrator for the periodic nonlinear Schrödinger equation.
(English)
[J] Appl. Math. Comput. 170, No. 2, 1394-1417 (2005). ISSN 0096-3003

Summary: A multisymplectic integrator for the periodic nonlinear Schrödinger equation is presented in this paper. Its accuracy is proved. By introducing a norm, we investigate its nonlinear stability. We also discuss the relationship between this multisymplectic integrator and two variational integrators which are derived by using the discrete multisymplectic field theory and the finite element method.
MSC 2000:
*65P10 Hamiltonian systems including symplectic integrators
35Q55 NLS-like (nonlinear Schroedinger) equations
37M15 Symplectic integrators

Keywords: Multisymplectic integrator; Nonlinear Schrödinger equation

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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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