### 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 |

### Fingerprint

### 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

### Cite this

*Journal of Physics A: Mathematical and Theoretical*,

*48*(13), [135203]. https://doi.org/10.1088/1751-8113/48/13/135203

**Integrable semi-discretizations of the reduced Ostrovsky equation.** / Feng, Bao Feng; Maruno, Kenichi; Ohta, Yasuhiro.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and Theoretical*, vol. 48, no. 13, 135203. https://doi.org/10.1088/1751-8113/48/13/135203

}

TY - JOUR

T1 - Integrable semi-discretizations of the reduced Ostrovsky equation

AU - Feng, Bao Feng

AU - Maruno, Kenichi

AU - Ohta, Yasuhiro

PY - 2015/4/7

Y1 - 2015/4/7

N2 - 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.

AB - 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.

KW - 3-reduction of the BKP/CKP hierarchy

KW - integrable discretization

KW - reduced Ostrovsky equation

KW - short wave limit of the Degasperis-Procesi equation

UR - http://www.scopus.com/inward/record.url?scp=84925437140&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84925437140&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/48/13/135203

DO - 10.1088/1751-8113/48/13/135203

M3 - Article

AN - SCOPUS:84925437140

VL - 48

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 13

M1 - 135203

ER -