The Hirota-Satsuma coupled KdV hierarchy on noncommutative phase-space

被引：1

作者：

Saidi, Abdelali ^{[1
]}

Sedra, Moulay Brahim ^{[1
,2
]}

机构：

[1] Ibn Tofail Univ, Fac Sci, Dept Phys, LaboSimo, Kenitra, Morocco

[2] Moulay Ismail Univ, FST, Errachidia, Morocco

来源：

TURKISH JOURNAL OF PHYSICS | 2019年 / 43卷 / 03期

关键词：

Noncommutative geometry; Hirota-Satsuma coupled KdV system; Moyal deformation; EQUATIONS; INTEGRABILITY; SYSTEM;

D O I：

10.3906/fiz-1902-16

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the present contribution, the Hirota-Satsuma coupled KdV hierarchy on noncommutative phase-space is investigated using the noncommutative extension of Lax pair generating technique. In particular, the explicit representation of its associated Lax pair operators is constructed. It is shown that the obtained results for phase-space noncommutativity case reduce back to the standard commutative case when theta goes to 1/2.

引用

页码：293 / 301

页数：9

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