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
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
关键词 :
11.10.Ef ,
02.70.Bf
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.
Key words :
11.10.Ef
02.70.Bf
出版日期: 2006-02-01
:
11.10.Ef
(Lagrangian and Hamiltonian approach)
02.70.Bf
(Finite-difference methods)
引用本文:
CHEN Jing-Bo. A Multisymplectic Variational Framework for the Nonlinear Elastic Wave Equation[J]. 中国物理快报, 2006, 23(2): 320-323.
CHEN Jing-Bo. A Multisymplectic Variational Framework for the Nonlinear Elastic Wave Equation. Chin. Phys. Lett., 2006, 23(2): 320-323.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2006/V23/I2/320
[1]
WANG Hui-Ping;WANG Yu-Shun;HU Ying-Ying. An Explicit Scheme for the KdV Equation [J]. 中国物理快报, 2008, 25(7): 2335-2338.
[2]
WANG Shun-Jin;LI Lei;ZHOU Shan-Gui;ZHANG Guang-Biao. On the Physical Contents of the Light-Cone QCD Effective Hamiltonian on Meson Sector [J]. 中国物理快报, 2006, 23(6): 1426-1429.
[3]
CHEN Jing-Bo. Euler--Lagrange Forms and Cohomology Groups on Jet Bundles [J]. 中国物理快报, 2005, 22(8): 1858-1861.
[4]
CHEN Yu-Guang;CHEN Hong;ZHANG Yu-Mei. Ground State Properties of a Local Sine-Gordon Model with Two Scatters [J]. 中国物理快报, 2005, 22(6): 1496-1499.
[5]
CHEN Jing-Bo. Multisymplectic Hamiltonian Formulation for a One-Way Seismic Wave Equation of High-order Approximation [J]. 中国物理快报, 2004, 21(1): 37-39.
[6]
LI Qiang;GUO Qiao-Yi;LI Dian-Zhong;QIAN Bai-Nian;LI Da-Ming;LI Ruo;ZHANG Ping-Wen. Continuous Method for Describing Dendrite Evolution During Solidification [J]. 中国物理快报, 2004, 21(1): 143-145.
[7]
SHI Li-Na;CAI Hao;LI Cheng-Fang;HUANG Nian-Ning. Conservation Laws in Sine-Gordon Equation
[J]. 中国物理快报, 2003, 20(7): 1003-1005.
[8]
CAI Hao;HUANG Nian-Ning. Green’s Function Method for Perturbed Korteweg-de Vries Equation [J]. 中国物理快报, 2003, 20(4): 469-472.
[9]
LI Kang;CHEN Wen-Jun; NAÓN Carlos M.. Classical Electromagnetic Field Theory in the Presence of Magnetic Sources [J]. 中国物理快报, 2003, 20(3): 321-324.
[10]
XIONG Chuan-Hua. Noncommutativity in Haldane’s Model [J]. 中国物理快报, 2003, 20(10): 1689-1690.
[11]
LIN Qing-Chun;FU Jian;HE Sai-Ling;ZHANG Jian-Wu. Metallic Photonic Bandgap Resonant Antennas with High Directivity and High Radiation Resistance [J]. 中国物理快报, 2002, 19(6): 804-806.
[12]
XIAO San-Shui;HE Sai-Ling;LIN Qing-Chun;SHEN Lin-Fang. Defect Mode Computation in Two-Dimensional Photonic Crystals Consisting of Nearly-Free-Electron Metals [J]. 中国物理快报, 2001, 18(9): 1218-1221.
[13]
XIAO San-Shui;HE Sai-Ling;ZHUANG Fei. Guided Modes in a Two-Dimensional Photonic Crystal Waveguide
Consisting of Nearly-Free-Electron Metals [J]. 中国物理快报, 2001, 18(10): 1363-1365.
[14]
LIU Chuan. Symmetry Breaking in Finite Volume [J]. 中国物理快报, 2000, 17(3): 180-181.
[15]
CHEN Bao-qiu;MA Zhong-yu;S. Krewald;F. Grümmer. Contribution of Fock Term to Properties of Exotic Nuclei [J]. 中国物理快报, 1998, 15(9): 636-638.