A new explicit multisymplectic integrator for the Kawahara-type equation

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. Nu- merical experiments are presented to verify the accuracy of this scheme...

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Veröffentlicht in:Chinese physics B 2014-03, Vol.23 (3), p.99-103
1. Verfasser: 蔡文君 王雨顺
Format: Artikel
Sprache:eng
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Zusammenfassung: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. Nu- merical 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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/23/3/030204