Multisymplectic schemes for the nonlinear Klein-Gordon equation.

DOI10.1016/S0895-7177(02)00250-9zbMath1045.35083OpenAlexW2068813408MaRDI QIDQ1410656

Yu Shun Wang, Meng-Zhao Qin

Publication date: 14 October 2003

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(02)00250-9

zbMATH Keywords

numerical experimentsvariational principlenonlinear Klein-Gordon equationmultisymplectic structuremultisymplectic schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items (3)

Multisymplectic integration of N-coupled nonlinear Schrödinger equation with destabilized periodic wave solutions ⋮ Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions ⋮ Multi-symplectic integration of coupled non-linear Schrödinger system with soliton solutions

Cites Work

• Analysis of four numerical schemes for a nonlinear Klein-Gordon equation
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
• Multisymplectic geometry, covariant Hamiltonians, and water waves
• Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
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