A generalized BPT hierarchy of soliton equations and its Hamiltonian structure

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Original languageEnglish
Article number12108
Journal / PublicationJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 1 Feb 2008


A three-dimensional Lie algebra is constructed to establish two isospectral problems whose compatibility condition generates a new integrable-soliton hierarchy of equations which is called generalized BPT hierarchy. An equivalent Lie algebra corresponding to the three-dimensional Lie algebra is given for deducing the Hamiltonian structure of the equation hierarchy by use of the quadratic-form identity. © 2008 IOP Publishing Ltd.