A new explicit multisymplectic integrator for the Kawahara-type equation

doi:10.1088/1674-1056/23/3/030204

Abstract We derive a new multisymplectic integrator for the Kawahara-type equation which is a fully explicit scheme and thus needs less computation cost. Multisympecticity of such scheme guarantees the long-time numerical behaviors. Numerical experiments are presented to verify the accuracy of this scheme as well as the excellent performance on invariant preservation for three kinds of Kawahara-type equations.

Keywords: Kawahara-type equation multisymplectic integrator Euler-box scheme adjoint scheme

Received: 13 November 2013
Revised: 16 December 2013
Accepted manuscript online:

PACS:	02.70.Bf	(Finite-difference methods)
	03.65.Ge	(Solutions of wave equations: bound states)
	45.10.Na	(Geometrical and tensorial methods)
	47.10.Df	(Hamiltonian formulations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11271195 and 11271196) and the Project of Graduate Education Innovation of Jiangsu Province, China (Grant No. CXZZ12-0385).

Corresponding Authors: Wang Yu-Shun
E-mail: wangyushun@njnu.edu.cn

Cite this article:

Cai Wen-Jun (蔡文君), Wang Yu-Shun (王雨顺) A new explicit multisymplectic integrator for the Kawahara-type equation 2014 Chin. Phys. B 23 030204

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A new explicit multisymplectic integrator for the Kawahara-type equation

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