A reduction of the resonant three-wave interaction to the generic sixth Painleve equation

被引：12

作者：

Conte, Robert ^{[1
]}

Grundland, A. Michel

Musette, Micheline

机构：

[1] CEA Saclay, CNRS, URA 2464, Serv Phys Etat Condense, F-91191 Gif Sur Yvette, France

[2] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

[3] Univ Quebec, Dept Math & Informat, Trois Rivieres, PQ G9A 5H7, Canada

[4] Vrije Univ Brussels, Denst Theoret Nat Kunde, B-1050 Brussels, Belgium

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 39期

关键词：

D O I：

10.1088/0305-4470/39/39/S07

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Among the reductions of the resonant three-wave interaction system to six-dimensional differential systems, one of them has been specifically mentioned as being linked to the generic sixth Painleve equation P6. We derive this link explicitly, and we establish the connection to a three-degree-of-freedom Hamiltonian previously considered for P6.

引用

页码：12115 / 12127

页数：13

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