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

共 50 条

[21] Higher-order rogue wave solutions of the three-wave resonant interaction equation via the generalized Darboux transformation
Wang, Xin
Cao, Jianli
Chen, Yong
PHYSICA SCRIPTA, 2015, 90 (10)
[22] Novel soliton solutions for the fractional three-wave resonant interaction equations
Alqaraleh, Sahar M.
Talafha, Adeeb G.
DEMONSTRATIO MATHEMATICA, 2022, 55 (01) : 490 - 505
[23] On stochastic stabilization of the Kelvin-Helmholtz instability by three-wave resonant interaction
Kostrykin, S. V.
Romanova, N. N.
Yakushkin, I. G.
CHAOS, 2011, 21 (04)
[24] Three-wave resonant interactions in unstable media
Romanova, NN
Annenkov, SY
JOURNAL OF FLUID MECHANICS, 2005, 539 : 57 - 91
[25] Painleve II Equation As a Model of a Resonant Interaction of Oscillators
Kalyakin, L. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2018, 303 : 124 - 135
[26] Resonant three-wave mixing and quantum interference
Arkhipkin, VG
Apanovich, VY
Myslivets, SA
IZVESTIYA AKADEMII NAUK SERIYA FIZICHESKAYA, 1996, 60 (06): : 59 - 64
[27] Nonlinear and three-wave resonant interactions in magnetohydrodynamics
Webb, GM
Zakharian, AR
Brio, M
Zank, GP
JOURNAL OF PLASMA PHYSICS, 2000, 63 : 393 - 445
[28] Thermalization of the dispersive three-wave interaction
Lagrange, S.
Jauslin, H. R.
Picozzi, A.
EPL, 2007, 79 (06)
[29] Radiative effects in the three-wave interaction
Zabolotskii, AA
OPTICS AND SPECTROSCOPY, 1999, 86 (05) : 707 - 715
[30] Three-Wave Resonant Interaction of Bogoliubov Excitations in a Bose-Einstein Condensate with Diffraction
SUN Chun-Liu HUANG Guo-Xiang Department of Physics and Key Laboratory for Optical and Magnetic Resonance Spectroscopy
Communications in Theoretical Physics, 2004, 41 (05) : 699 - 706

← 1 2 3 4 5 →