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Multisymplecticity of the centred box discretization for hamiltonian PDEs with m ≥ 2 space dimensions

✍ Scribed by Jialin Hong; Meng-Zhao Qin

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 463 KB
Volume: 15
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(02)00077-0

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✦ Synopsis

In

this letter, it is shown that the centred box discretization for Hamiltonian PDEs with m 2 2 space dimensions is multiaymplectic in the sense of Bridges and Reich in [l-6]. Multisymplectic discretlzations for the generalized KP equation and the wave equation with 2 space dimensions, respectively, are given. A multisymplectically numerical scheme of the wave equation is derived.

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Multisymplecticity of the centred box scheme for a class of hamiltonian PDEs and an application to quasi-periodically solitary waves

✍ Jialin Hong; Ying Liu 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 654 KB

In this paper, the multisymplectic integrator for a class of Hamiltonian PDEs depending explicitly on time and spatial variables (nonautonomous Hamiltonian PDEs) is defined, and the multisymplecticity of the centred box scheme for this kind of Hamiltonian PDEs is proven. We give an application of th