Integrable semi-discretizations of the reduced Ostrovsky equation. (12th March 2015)

• Record Type: Journal Article
• Authors: Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
• Is Part Of: Journal of physics. Volume 48:Number 13(2015)
• Publication Date: 2015-03-12
• Subjects: integrable discretization -- 3-reduction of the BKP/CKP hierarchy -- reduced Ostrovsky equation -- short wave limit of the Degasperis–Procesi equation; 02.30.Ik -- 05.45.Yv -- 42.65.Tg -- 42.81.Dp; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/13/135203
• Languages: English
• ISSNs: 1751-8113

Abstract

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.