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Integrable semi-discretizations of the reduced Ostrovsky equation

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.

preprint2015arXivOpen access
Bao-Feng FengKen-ichi MarunoYasuhiro Ohta
math-phmath.MPnlin.SI
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Bao-Feng FengKen-ichi MarunoYasuhiro Ohta

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