A New Loop Algebra and Corresponding Computing Formula of Constant γ in Quadratic-Form Identity
A New Loop Algebra and Corresponding Computing Formula of Constant γ in Quadratic-Form Identity
摘要
A new loop algebra containing four arbitrary constants is presented, -whose commutation operation is concise, and the corresponding computing formula of constant γ in the quadratic-form identity is obtained in this paper, which can be reduced to computing formula of constant γ in the trace identity. As application, a new Liouville integrable hierarchy, which can be reduced to AKNS hierarchy is derived.
参考文献9
-
1G.Z.Tu,Science in China (Series A) 12 (1988) 1243.
-
2G.Z.Tu,J.Math.Phys.30 (1989) 330.
-
3G.Z.Tu,J.Phys.A:Math.Gen.22 (1989) 2375.
-
4F.K.Guo,"The extended trace identity" (to appear).
-
5F.K.Guo and Y.F.Zhang,J.Phys.A 38 (2005) 8537.
-
6F.K.Guo and Y.F.Zhang,Acta Phys.Sin.51 (2002) 95.
-
7F.K.Guo and Y.F.Zhang,J.Math.Phys.44 (2003) 5793.
-
8F.K.Guo and Y.F.Zhang,Chaos,Solitons,and Fractals 5 (2004) 1207.
-
9F.K.Guo and Y.F.Zhang,Chaos,Solitons and Fractals 32 (2007) 1898.
-
1YANG Yong,ZHAO Yan.Expansion of Lie Algebra and Its Application[J].Communications in Theoretical Physics,2007,47(1):19-21. 被引量：1
-
2夏铁成,张登朋,特木尔朝鲁.带有自相容源的屠族新可积耦合[J].数学物理学报（A辑）,2012,32(5):941-949. 被引量：1
-
3魏晓丽.一个分数阶Broer-Kaup可积方程族（英文）[J].黑龙江大学自然科学学报,2015,32(6):711-714.
-
4郭江贵,王维玺.三维各向同性谐振子实现量子群SU_q(3)[J].内蒙古大学学报（自然科学版）,1997,28(5):641-645.
-
5李军波.一类李代数的阶化最高权模[J].常熟理工学院学报,2005,19(6):1-3.
-
6Zhang Yu Dong Huanhe (College of Information Science and Engineering,Shandong University of Science and Technology,Qingdao 266510,Shandong) Li Zhu (College of Math.and Inform.Science,Xinyang Normal University,Xinyang 464000,Henan).INTEGRABLE COUPLINGS OF THE TB HIERARCHY AND ITS HAMILTONIAN STRUCTURE[J].Annals of Differential Equations,2008,24(1):112-116. 被引量：1
-
7GUO Fu-Kui ZHANG Yu-Feng.Integrable Coupling of KN Hierarchy and Its Hamiltonian Structure[J].Communications in Theoretical Physics,2006,45(5):799-801.
-
8陈晓红,石赟萍,韩秉旭.一个李代数及其相应的可积哈密顿系统[J].辽宁科技大学学报,2015,38(2):147-149.
-
9李柱.一族多分量的刘维尔可积系及其可积耦合[J].泰山学院学报,2012,34(3):22-34.
-
10于义.一个扩展的可积Broer—Kaup方程族[J].长春师范学院学报（自然科学版）,2014,33(2):10-12.
