Nonlinear integrable couplings of super Kaup-Newell hierarchy and its super Hamiltonian structures

Wei Han-Yu; Xia Tie-Cheng

doi:10.7498/aps.62.120202

Abstract

Based on a kind of new Lie superalgebras, we introduce the general method of constructing the nonlinear integrable couplings of super soliton hierarchy. Super trace identity over the corresponding loop superalgebras is used to obtain the super Hamiltonian structures for the resulting nonlinear integrable couplings of the super soliton hierarchy. As an application, we give the nonlinear integrable couplings of super Kaup-Newell hierarchy and its super Hamiltonian structures. This method can be generalized to other super soliton hierarchy.

Keywords:

Authors and contacts

Wei Han-Yu^1,2,
Xia Tie-Cheng¹

1.
Department of Mathematics, Shanghai University, Shanghai 200444, China;
2.
Department of Mathematics and Information Science, Zhoukou Normal University, Zhoukou 466001, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11271008, 61072147, 11071159), the First-class Discipline of Universities in Shanghai, the Shanghai University Leading Academic Discipline Project, China (Grant No. 13-0101-12-004), and the Natural Science Foundation of Henan Province, China (Grant No. 132300410202).

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Cited By

[1]	Zhang Y F, Zhang H Q, Yan Q Y 2002 Phys. Lett. A 299 543
[2]	Cheng X P, Li J Y, Xue J R 2011 Acta Phys. Sin. 60 110204 (in Chinese) [程雪苹, 李金玉, 薛江蓉 2011 60 110204]
[3]	Taogetusang, Sirendaoerji 2010 Acta Phys. Sin. 59 5194 (in Chinese) [套格图桑, 斯仁道尔吉 2010 59 5194]
[4]	Ma W X, Xu X X, Zhang Y F 2006 Phys. Lett. A 351 125
[5]	Zhou X C, Lin W T, Lin Y H, Mo J Q 2012 Acta Phys. Sin. 61 240202 (in Chinese) [周先春, 林万涛, 林一骅, 莫嘉琪 2012 61 240202]
[6]	Yu F J, Li L 2009 Chin. Phys. B 18 3651
[7]	Yu F J, Li L 2008 Chin. Phys. B 17 3965
[8]	Yu F J 2008 Chin. Phys. Lett. 25 3519
[9]	Shi L F, Lin W T, Lin Y H, Mo J Q 2013 Acta Phys. Sin. 62 010201 (in Chinese) [石兰芳, 林万涛, 林一骅, 莫嘉琪 2013 62 010201]
[10]	Yu F J 2008 Chin. Phys. Lett. 25 359
[11]	Xia T C 2010 Commun. Theor. Phys. 53 25
[12]	Ma W X, Fushssteiner B 1996 Chaos Soliton. Fract. 7 1227
[13]	Ma W X, Fushssteiner B 1996 Phys. Lett. A 213 49
[14]	Ma W X 2011 Appl. Math. Comput. 217 7238
[15]	Ma W X, Zhu Z N 2010 Comput. Math. Appl. 60 2601
[16]	Yu F J 2012 Chin. Phys. B 21 010201
[17]	Li Z, Dong H H, Yang H W 2009 Int. J. Theor. Phys. 48 2172
[18]	Li Z 2009 Modern Phys. Lett. B 23 2907
[19]	Tao S X, Xia T C 2010 Chin. Phys. Lett. 27 040202
[20]	Tao S X, Xia T C 2010 Chin. Phys. B 19 070202
[21]	Tao S X, Wang H, Shi H 2011 Chin. Phys. B 20 070201
[22]	Yu F J, Zhang H Q 2008 Chin. Phys. B 17 1574
[23]	Yu F J 2011 Chin. Phys. Lett. 28 120201
[24]	Yang H X, Du J, Xu X X 2010 Appl. Math. Comput. 217 1497
[25]	Yang H X, Sun Y P 2010 Int. J. Theor. Phys. 49 349
[26]	Zhu L L, Yang H X, Chen L X 2010 Chin. J. Phys. 48 719
[27]	Tao S X, Xia T C, Shi H 2011 Commun. Theor. Phys. 55 391
[28]	You F C 2011 J. Math. Phys. 52 123510
[29]	Hu X B 1997 J. Phys. A: Math. Gen. 30 619
[30]	Ma W X, He J S, Qin Z Y 2008 J. Math. Phys. 49 033511

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Vol. 62, Issue 12 - 2013-06-20

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