New schemes for the nonlinear Schrödinger equation

DOI10.1016/S0096-3003(00)00111-9zbMath1023.65130OpenAlexW2032799513MaRDI QIDQ1855103

Jing-Bo Chen

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00111-9

zbMATH Keywords

nonlinear Schrödinger equationmultisymplectic integratorcomposition methodmultisymplectic Hamiltonian system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

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Cites Work

• Finite-difference solutions of a non-linear Schrödinger equation
• Construction of higher order symplectic schemes by composition
• Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
• Multi-symplectic structures and wave propagation
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity