A multisymplectic variational integrator for the nonlinear Schrödinger equation | Zendy

Chen JingBo | Zendy; Qin MengZhao | Zendy

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A multisymplectic variational integrator for the nonlinear Schrödinger equation

Author(s) -

Chen JingBo,

Qin MengZhao

Publication year - 2002

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.10021

Subject(s) - variational integrator , integrator , mathematics , nonlinear system , variational principle , mathematical analysis , point (geometry) , schrödinger's cat , mathematical physics , physics , geometry , quantum mechanics , voltage

The multisymplectic structure for the nonlinear Schrödinger equation is presented. Based on the multisymplectic structure, we derive a nine‐point variational integrator from the discrete variational principle and a six‐point multisymplectic integrator from the Preissman multisymplectic scheme. We show that the two integrators are essentially equivalent. Therefore, we call it a multisymplectic variational integrator. © 2002 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 18: 523–536, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/num.10021

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