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.

引用

页数：20

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