A variational approach to \((m + 1)\)-dimensional \(n\)-order field

DOI10.1016/j.amc.2008.12.065zbMath1166.65062OpenAlexW1973193024MaRDI QIDQ1015795

Han Wei, Su-ying Zhang

Publication date: 30 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.065

zbMATH Keywords

conservation lawsHamiltonianvariational methodmatrix equationKadomtsev-Petviashvili equationimplicit midpoint rulecentred box discretisationmulti-symplectic formulationmulti-symplectic schemes

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) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

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• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity