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A Multisymplectic Variational Framework for the Nonlinear Elastic Wave Equation |
CHEN Jing-Bo |
Institute of Geology and Geophysics, Chinese Academy of Sciences, PO Box 9825, Beijing 100029 |
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Cite this article: |
CHEN Jing-Bo 2006 Chin. Phys. Lett. 23 320-323 |
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Abstract A multisymplectic variational framework for the nonlinear elastic wave equation is presented. The modified internal energy corresponding to the approximate nonlinear elastic wave equation is derived. we obtain the equation, its associated local energy and momentum conservation laws as well as the multisymplectic form simultaneously directly from the variational principle.
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Keywords:
11.10.Ef
02.70.Bf
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Published: 01 February 2006
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PACS: |
11.10.Ef
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(Lagrangian and Hamiltonian approach)
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02.70.Bf
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(Finite-difference methods)
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