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A new explicit multisymplectic integrator for the Kawahara-type equation |
Cai Wen-Jun (蔡文君), Wang Yu-Shun (王雨顺) |
Key Laboratory for NSLSCS of Jiangsu Province, School of Mathematics and Sciences, Nanjing Normal University, Nanjing 210023, China |
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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.
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Received: 13 November 2013
Revised: 16 December 2013
Accepted manuscript online:
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PACS:
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02.70.Bf
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(Finite-difference methods)
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03.65.Ge
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(Solutions of wave equations: bound states)
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45.10.Na
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(Geometrical and tensorial methods)
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47.10.Df
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(Hamiltonian formulations)
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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
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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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