TY - JOUR
T1 - Integrable semi-discretizations of the reduced Ostrovsky equation
AU - Feng, Bao Feng
AU - Maruno, Ken Ichi
AU - Ohta, Yasuhiro
N1 - Publisher Copyright:
© 2015 IOP Publishing Ltd.
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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U2 - 10.1088/1751-8113/48/13/135203
DO - 10.1088/1751-8113/48/13/135203
M3 - Article
AN - SCOPUS:84925437140
SN - 1751-8113
VL - 48
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 13
M1 - 135203
ER -