The Generalized Broer-Kaup-Kupershmidt System and its Hamiltonian Extension
نویسندگان
چکیده
Abstract The generalized Broer-Kaup-Kupershmidt (generalized BKK) isospectral problem, including the x-derivative of potential, is considered based on Lie algebra A1. The variational trace identity is extended to construct Hamiltonian structure of generalized BKK system. The Lie algebra A1 is extended to the non-semi-simple Lie algebra of 4 × 4 matrix form, from which a hierarchy of soliton equations related to generalized BKK system are given. The Hamiltonian structure of the resulting system is established, by the generalized trace identity.
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