Symplectic integrators for discrete nonlinear Schrödinger systems

DOI10.1016/S0378-4754(01)00286-5zbMath0985.65157OpenAlexW1991384661MaRDI QIDQ5943294

Dmitry A. Karpeev, Constance M. Schober

Publication date: 9 September 2001

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(01)00286-5

zbMATH Keywords

performanceHamiltonian systemssymplectic integratorsexplicit Runge-Kutta schemenonlinear Schrödinger system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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)

Related Items (1)

Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients

Cites Work

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• On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry
• Symplectic integrators for the Ablowitz-Ladik discrete nonlinear Schrödinger equation
• Symplectic integration of Hamiltonian systems
• A Nonlinear Difference Scheme and Inverse Scattering

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