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arXiv · 1502.03891

Integrable semi-discretizations of the reduced Ostrovsky equation

Bao-Feng Feng·Ken-ichi Maruno·Yasuhiro Ohta
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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.

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Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta. 2015-02-13. Integrable semi-discretizations of the reduced Ostrovsky equation. https://doi.org/10.1088/1751-8113/48/13/135203

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