Integrable semi-discretizations of the reduced Ostrovsky equation
Exactly Solvable and Integrable Systems
2015-06-23 v1 Mathematical Physics
math.MP
Abstract
Based on our previous work to the reduced Ostrovsky equation (J. Phys. A 45 355203), we construct its integrable semi-discretizations. Since the reduced Ostrovsky equation admits two alternative representations, one is its original form, the other is the differentiation form, or 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.
Keywords
Cite
@article{arxiv.1502.03891,
title = {Integrable semi-discretizations of the reduced Ostrovsky equation},
author = {Bao-Feng Feng and Ken-ichi Maruno and Yasuhiro Ohta},
journal= {arXiv preprint arXiv:1502.03891},
year = {2015}
}
Comments
J. Phys. A: Mathematical and Theoretical, to be published