Explicit Multisymplectic Fourier Pseudospectral Scheme for the Klein–Gordon–Zakharov Equations

doi:10.1088/0256-307X/29/8/080201

Chin. Phys. Lett.

2012, Vol. 29

Issue (8): 080201 DOI: 10.1088/0256-307X/29/8/080201

GENERAL

Explicit Multisymplectic Fourier Pseudospectral Scheme for the Klein–Gordon–Zakharov Equations

CAI Jia-Xiang^**, LIANG Hua

School of Mathematical Science, Huaiyin Normal University, Huaian 223300

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CAI Jia-Xiang, and LIANG Hua 2012 Chin. Phys. Lett. 29 080201

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Abstract

Applying the Fourier pseudospectral method to space derivatives and the symplectic Euler rule to time derivatives in the multisymplectic form of the Klein–Gordon–Zakharov equations, we derive an explicit multisymplectic scheme. The semi-discrete energy and momentum conservation laws are given. Some numerical experiments are carried out to show the accuracy of the numerical solutions. The performance of the scheme in preserving the global energy and momentum conservation laws are also checked.

Received: 22 March 2012 Published: 31 July 2012

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	02.70.Bf	(Finite-difference methods)
	45.10.Na	(Geometrical and tensorial methods)
	45.20.dh	(Energy conservation)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/8/080201 OR https://cpl.iphy.ac.cn/Y2012/V29/I8/080201

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	CAI Jia-Xiang
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