Integrable semi-discretizations of the reduced Ostrovsky equation

Bao Feng Feng; Ken Ichi Maruno; Yasuhiro Ohta

doi:10.1088/1751-8113/48/13/135203

Integrable semi-discretizations of the reduced Ostrovsky equation

Bao Feng Feng^*, Ken Ichi Maruno, Yasuhiro Ohta

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

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	https://doi.org/10.1088/1751-8113/48/13/135203
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

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

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title = "Integrable semi-discretizations of the reduced Ostrovsky equation",

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.",

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T1 - Integrable semi-discretizations of the reduced Ostrovsky equation

AU - Feng, Bao Feng

AU - Maruno, Ken Ichi

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

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Integrable semi-discretizations of the reduced Ostrovsky equation

Abstract

Keywords

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