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Self-consistent Sources and Conservation Laws for Sup er-Geng Equation Hierarchy 被引量:1
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作者 WEI Han-yu CUI Zhong-yuan XIA Tie-cheng 《Chinese Quarterly Journal of Mathematics》 2016年第2期201-210,共10页
Based on the matrix Lie super algebra and supertrace identity, the integrable super-Geng hierarchy with self-consistent is established. Furthermore, we establish the infinitely many conservation laws for the integrabl... Based on the matrix Lie super algebra and supertrace identity, the integrable super-Geng hierarchy with self-consistent is established. Furthermore, we establish the infinitely many conservation laws for the integrable super-Geng hierarchy. The methods derived by us can be generalized to other nonlinear equation hierarchies. 展开更多
关键词 supertrace identity self-consistent sources conservation laws super-Geng hierarchy
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A new eight-dimensional Lie superalgebra and two corresponding hierarchies of evolution equations
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作者 王新赠 董焕河 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第1期7-12,共6页
A new eight-dimensional Lie superalgebra is constructed and two isospectral problems with six potentials are designed. Corresponding hierarchies of nonlinear evolution equations, as well as super-AKNS and super-Levi, ... A new eight-dimensional Lie superalgebra is constructed and two isospectral problems with six potentials are designed. Corresponding hierarchies of nonlinear evolution equations, as well as super-AKNS and super-Levi, are derived. Their super-Hamiltonian structures are established by making use of the supertrace identity, and they are integrable in the sense of Liouville. 展开更多
关键词 Lie superalgebra supertrace identity superintegrable system super-Hamiltonian structure
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NEW SUPER-HAMILTONIAN STRUCTURES OF SUPER-DIRAC HIERARCHY
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作者 Yong Fang1,2,3, Yijun Hou1,2 , Huanhe Dong4, Jianhai Xue5 (1. Institute of Oceanology, Chinese Academy of Science, Qingdao 266071, Shandong 2. Key Laboratory of Ocean Circulation and Waves, Chinese Academy of Science, Qingdao 266071 +2 位作者 3. Graduate University of Chinese Academy of Science, Beijing 100039 4. Information School, Shandong University of Science and Technology, Qingdao 266510 5. Thermoelectric Gas Company in Qingdao Development Zone, Qingdao 266555) 《Annals of Differential Equations》 2012年第2期164-169,共6页
In this paper, we introduce the supertrace identity and its applications. A new eight-dimensional Lie superalgebra is constructed and the super-Dirac hierarchy is derived. By the supertrace identity, we obtain the sup... In this paper, we introduce the supertrace identity and its applications. A new eight-dimensional Lie superalgebra is constructed and the super-Dirac hierarchy is derived. By the supertrace identity, we obtain the super-bi-Hamiltonian structure of the super-Dirac hierarchy. 展开更多
关键词 Lie superalgebra supertrace identity superintegrable system super-Hamiltonian structure super-integrable hierarchy
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