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2006•Journal of Northeast Normal UniversityRequires access

A new subalgebra of Loop algebra _2 and associated with a hierarchy of evolutions

Wang Cong-hua

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Abstract

A new subalgebra of Loop algebra A～_2 is constructed.It follows that an isospectral problem is designed.By making use of Tu scheme,a type of new Liouville integrable system is obtained,possessing bi-Hamiltonian structure.As its reduction case,a coupled nonlinear generalized Schrodinger equations is presented.

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What this paper is about

A new subalgebra of Loop algebra A～_2 is constructed.It follows that an isospectral problem is designed.By making use of Tu scheme,a type of new Liouville integrable system is obtained,possessing bi-Hamiltonian structure.As its reduction case,a coupled nonlinear generalized Schrodinger equations is presented.

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Available abstract

A new subalgebra of Loop algebra A～_2 is constructed.It follows that an isospectral problem is designed.By making use of Tu scheme,a type of new Liouville integrable system is obtained,possessing bi-Hamiltonian structure.As its reduction case,a coupled nonlinear generalized Schrodinger equations is presented.

Key concepts: Isospectral, Loop algebra, Subalgebra, Mathematics, Hierarchy, Integrable system, Hamiltonian (control theory), Cartan subalgebra

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