Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (9): 721-726.DOI: 10.3969/j.issn.0253-2778.2015.09.003

• Original Paper • Previous Articles    

Numerical simulation between long and short waves by multisymplectic method

WANG Lan, DUAN Yali, KONG Linghua   

  1. 1.School of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China; 2.Jiangsu Key Laboratory of NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China; 3.School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China
  • Received:2014-03-06 Revised:2014-08-20 Accepted:2014-08-20 Online:2014-08-20 Published:2014-08-20
  • Contact: KONG Linghua
  • About author:WANG Lan, female, born in 1979, master/lecturer. Research field: numerical methods for PDEs.
  • Supported by:
    Supported by the NNSFC (11301234, 11271171, 11101399), the Provincial Natural Science Foundation of Jiangxi (20142BCB23009, 20151BAB201012), State Key Laboratory of Scientific and Engineering Computing, CAS, and Jiangsu Key Lab for NSLSCS (201302).

Abstract: The multisymplectic structure-preserving scheme for the Schrdinger-KdV equation was investigated. First the canonical formulation of the equation was discussed. Then, it was discretized by the multisymplectic integrator, such as a midpoint integrator. Numerical results were presented to illustrate the validity of the new scheme.

Key words: Schrdinger-KdV equation, long and short waves, multisymplectic method

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