Integrable semi-discretizations of the reduced Ostrovsky equation
arXiv:1502.03891 · doi:10.1088/1751-8113/48/13/135203
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.
J. Phys. A: Mathematical and Theoretical, to be published