Gong Xin
Abstract
A new isospectral problem is designed by using a subalgebra of loop algebra 2 established. Then a family of new Liouville integrable system is obtained by means of Tu scheme, which possesses a bi Hamiltonian structure.As reduction case, a generalized nonlinear Schrodinger equation is presented.
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A new isospectral problem is designed by using a subalgebra of loop algebra 2 established. Then a family of new Liouville integrable system is obtained by means of Tu scheme, which possesses a bi Hamiltonian structure.As reduction case, a generalized nonlinear Schrodinger equation is presented.
Key concepts: Isospectral, Integrable system, Subalgebra, Loop algebra, Mathematics, Hamiltonian (control theory), Hamiltonian system, Loop (graph theory)