Multisymplectic Hamiltonian Formulation for a One-Way Seismic Wave Equation of High-order Approximation

Chin. Phys. Lett.

2004, Vol. 21

Issue (1): 37-39 DOI:

Original Articles

Multisymplectic Hamiltonian Formulation for a One-Way Seismic Wave Equation of High-order Approximation

CHEN Jing-Bo

Institute of Geology and Geophysics, Chinese Academy of Sciences, PO Box 9825, Beijing 100029

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CHEN Jing-Bo 2004 Chin. Phys. Lett. 21 37-39

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Abstract Based on the Lagrangian density and covariant Legendre transform, we obtain the multisymplectic Hamiltonian formulation for a one-way seismic wave equation of high-order approximation. This formulation provides a new perspective for studying the one-way seismic wave equation. A multisymplectic integrator is also derived.

Keywords: 11.10.Ef 02.70.Bf 91.30.Rz 91.30.Fn

Published: 01 January 2004

PACS:	11.10.Ef	(Lagrangian and Hamiltonian approach)
	02.70.Bf	(Finite-difference methods)
	91.30.Rz	(Nuclear explosion seismology)
	91.30.Fn	(Surface waves and free oscillations)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2004/V21/I1/037

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