### Abstract

Based on our previous work on the reduced Ostrovsky equation (J. Phys. A: Math. Theor. 45 355203), we construct its integrable semi-discretizations. Since the reduced Ostrovsky equation admits two alternative representations, one being its original form, the other the differentiated form (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.

Original language | English |
---|---|

Article number | 135203 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 48 |

Issue number | 13 |

DOIs | |

Publication status | Published - 2015 Apr 7 |

### Keywords

- 3-reduction of the BKP/CKP hierarchy
- integrable discretization
- reduced Ostrovsky equation
- short wave limit of the Degasperis-Procesi equation

### ASJC Scopus subject areas

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

## Fingerprint Dive into the research topics of 'Integrable semi-discretizations of the reduced Ostrovsky equation'. Together they form a unique fingerprint.

## Cite this

Feng, B. F., Maruno, K., & Ohta, Y. (2015). Integrable semi-discretizations of the reduced Ostrovsky equation.

*Journal of Physics A: Mathematical and Theoretical*,*48*(13), [135203]. https://doi.org/10.1088/1751-8113/48/13/135203