Wang Cong-hua
Abstract
A new subalgebra of Loop algebra _2 is constructed. Then an isospectral problem is designed. By making use of Tu scheme, a type of new Liouville integrable system is obtained, which is of bi-Hamiltonian structure. As its reduction case, a set of nonlinear generalized Schrodinger equation is obtained.
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A new subalgebra of Loop algebra _2 is constructed. Then an isospectral problem is designed. By making use of Tu scheme, a type of new Liouville integrable system is obtained, which is of bi-Hamiltonian structure. As its reduction case, a set of nonlinear generalized Schrodinger equation is obtained.
Key concepts: Isospectral, Subalgebra, Loop algebra, Integrable system, Mathematics, Hamiltonian (control theory), Algebra over a field, Cartan subalgebra