The Hamiltonian structure of the expanding integrable model of the generalized AKNS hierarchy

Binlu Feng and Bo Han

Chaos, Solitons & Fractals, 2009, vol. 39, issue 1, 271-276

Abstract: With the help of a new loop algebra g˜, a simple deducing method for the generalized AKNS hierarchy (briefly called GAH) is given. Then, g˜ is extended to a larger loop algebra G∼ from which the integrable couplings of the GAH, i.e. a kind of expanding integrable model, is obtained. It follows that its Hamiltonian structure is worked out by making use of the quadratic-form identity. Finally, a subalgebra a˜3 of the loop algebra A∼3 is devoted to getting the conserved densities of the integrable couplings by the HAKS algorithm.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:1:p:271-276

DOI: 10.1016/j.chaos.2007.01.139

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