Integrable semi-discretizations of the reduced Ostrovsky equation

被引：17
|
作者：
Feng, Bao-Feng [1 ]
Maruno, Ken-ichi [2 ]
Ohta, Yasuhiro [3 ]
机构：
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
[2] Waseda Univ, Dept Appl Math, Tokyo 1698050, Japan
[3] Kobe Univ, Dept Math, Kobe, Hyogo 6578501, Japan
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2015年 / 48卷 / 13期
基金：
中国国家自然科学基金;
关键词：
integrable discretization; 3-reduction of the BKP/CKP hierarchy; reduced Ostrovsky equation; short wave limit of the Degasperis-Procesi equation; PARTIAL DIFFERENCE-EQUATIONS; LOOP SOLITON SOLUTION; MULTISOLITON SOLUTIONS; CAMASSA-HOLM; WAVES;
D O I：
10.1088/1751-8113/48/13/135203
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页数：20
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