Integrable couplings of the multi-component Dirac hierarchy and its Hamiltonian structure. (English) Zbl 1221.37130

Li, Zhu; Dong, Huanhe

Chaos Solitons Fractals 36, No. 2, 290-295 (2008).

The authors obtain multi-component integrable couplings of the Dirac hierarchy by using the vector loop algebra \(\widetilde G_M\). Then, according to the quadratic-form identity, the Hamiltonian structure of the above system is presented.

Reviewer: Messoud A. Efendiev (Berlin)

MSC:

37K10

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)

Keywords:

multi-component Dirac hierarchy; Hamiltonian structure; loop algebra

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