Integrable semi-discretizations of the reduced Ostrovsky equation

Bao Feng Feng, Ken Ichi Maruno, Yasuhiro Ohta

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

Based on our previous work on the reduced Ostrovsky equation (J. Phys. A: Math. Theor. 45 355203), we construct its integrable semi-discretizations. Since the reduced Ostrovsky equation admits two alternative representations, one being its original form, the other the differentiated form (the short wave limit of the Degasperis-Procesi equation) two semi-discrete analogues of the reduced Ostrovsky equation are constructed possessing the same N-loop soliton solution. The relationship between these two versions of semi-discretizations is also clarified.

Original languageEnglish
Article number135203
JournalJournal of Physics A: Mathematical and Theoretical
Volume48
Issue number13
DOIs
Publication statusPublished - 2015 Apr 7

Keywords

  • 3-reduction of the BKP/CKP hierarchy
  • integrable discretization
  • reduced Ostrovsky equation
  • short wave limit of the Degasperis-Procesi equation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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