Multi-symplectic variational integrators for the Gross-Pitaevskii equations in BEC

DOI10.1016/J.AML.2016.04.014zbMath1381.35163OpenAlexW2347165501MaRDI QIDQ289278

Wanqiang Shen, Cuicui Liao, Xiao-Hua Ding

Publication date: 30 May 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.04.014

zbMATH Keywords

conservation lawGross-Pitaevskii equationBose-Einstein condensatevariational integratormulti-symplectic form formula

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Special quantum systems, such as solvable systems (81Q80)

Cites Work

• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation
• Mathematical theory and numerical methods for Bose-Einstein condensation
• Multi-symplectic preserving integrator for the Schrödinger equation with wave operator
• Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients
• Discrete mechanics and variational integrators
• Generating functionals and Lagrangian partial differential equations

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