Approximations for KdV equation as a Hamiltonian system

DOI10.1016/S0898-1221(00)00040-7zbMath0952.65104MaRDI QIDQ1570148

Pingfu Zhao, Meng-Zhao Qin

Publication date: 20 August 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemscollocation methodsKdV equationKorteweg-de Vries equationsemidiscrete approximationsFourier spectral methods

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Simulation of dynamical systems (37M05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Cites Work

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• Semi-discrete Fourier spectral approximations of infinite dimensional Hamiltonian systems and conservation laws
• On numerical methods for Hamiltonian PDEs and a collocation method for the Vlasov-Maxwell equations
• A simple model of the integrable Hamiltonian equation

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