Integrable discretizations for the short-wave model of the Camassa-Holm equation

Bao Feng Feng, Ken Ichi Maruno, Yasuhiro Ohta

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

The link between the short-wave model of the Camassa-Holm equation (SCHE) and bilinear equations of the two-dimensional Toda lattice equation is clarified. The parametric form of the N-cuspon solution of the SCHE in Casorati determinant is then given. Based on the above finding, integrable semi-discrete and full-discrete analogues of the SCHE are constructed. The determinant solutions of both semi-discrete and fully discrete analogues of the SCHE are also presented.

Original languageEnglish
Article number265202
JournalJournal of Physics A: Mathematical and Theoretical
Volume43
Issue number26
DOIs
Publication statusPublished - 2010 Jun 16
Externally publishedYes

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Integrable discretizations for the short-wave model of the Camassa-Holm equation'. Together they form a unique fingerprint.

Cite this