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Zbl 1234.37047
Ma, Wen-Xiu
Nonlinear continuous integrable Hamiltonian couplings. (English)
[J] Appl. Math. Comput. 217, No. 17, 7238-7244 (2011). ISSN 0096-3003

In this paper, a scheme is established to construct nonlinear continuous integrable couplings by means of a kind of special non-semisimple matrix Lie algebras. Variational identities over the associated loop algebras are used to build Hamiltonian structures for the resulting couplings. The AKNS hierarchy of soliton equations is used to give an example of application of the scheme.
[Giovanni Giachetta (Camerino)]

MSC 2000:: *37K10 Completely integrable systems etc.
35A30 Geometric theory for PDE, transformations
35F50
37K30 Relations with algebraic structures

Keywords: non-semisimple Lie algebras; integrable couplings; variational identities

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