RATIONAL BUNDLES AND RECURSION OPERATORS FOR INTEGRABLE EQUATIONS ON A.III-TYPE SYMMETRIC SPACES

被引:10
作者
Gerdjikov, V. S. [1 ]
Grahovski, G. G. [1 ,2 ]
Mikhailov, A. V. [3 ]
Valchev, T. I. [1 ]
机构
[1] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, Sofia, Bulgaria
[2] Dublin Inst Technol, Sch Math Sci, Dublin, Ireland
[3] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England
关键词
rational bundle; integrable equation; recursion operator; REDUCTION;
D O I
10.1007/s11232-011-0058-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze and compare methods for constructing the recursion operators for a special class of integrable nonlinear differential equations related to symmetric spaces of the type A.III in Cartan's classification and having additional reductions.
引用
收藏
页码:740 / 750
页数:11
相关论文
共 25 条
[1]  
ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249
[2]   Symmetry approach to the integrability problem [J].
Adler, VÉ ;
Shabat, AB ;
Yamilov, RI .
THEORETICAL AND MATHEMATICAL PHYSICS, 2000, 125 (03) :1603-1661
[3]  
[Anonymous], PURE APPL MATH
[4]  
Drinfeld VG., 1985, J. Sov. Math., V30, P1975, DOI [10.1007/BF02105860, DOI 10.1007/BF02105860]
[5]  
Gerdjikov V. S., 1983, Bulgarian Journal of Physics, V10, P130
[6]  
Gerdjikov VS, 2008, LECT NOTES PHYS, V748, P3, DOI 10.1007/978-3-540-77054-1_1
[7]   Reductions of integrable equations on A.III-type symmetric spaces [J].
Gerdjikov, V. S. ;
Mikhailov, A. V. ;
Valchev, T. I. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (43)
[8]  
Gerdjikov VS, 2010, J GEOM SYMMETRY PHYS, V20, P1
[9]  
Gerdzhikov V. S., 1980, Bulgarian Journal of Physics, V7, P119
[10]   Multicomponent generalization of the hierarchy of the Landau-Lifshitz equation [J].
Golubchik, IZ ;
Sokolov, VV .
THEORETICAL AND MATHEMATICAL PHYSICS, 2000, 124 (01) :909-917