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Loop algebras and bi-integrable couplings
Journal article   Peer reviewed

Loop algebras and bi-integrable couplings

Wenxiu Ma
Chinese annals of mathematics. Serie B, Vol.33(2), pp.207-224
01/03/2012

Abstract

Applications of Mathematics Article general Mathematics Mathematics and Statistics
A class of non-semisimple matrix loop algebras consisting of triangular block matrices is introduced and used to generate bi-integrable couplings of soliton equations from zero curvature equations. The variational identities under non-degenerate, symmetric and ad-invariant bilinear forms are used to furnish Hamiltonian structures of the resulting bi-integrable couplings. A special case of the suggested loop algebras yields nonlinear bi-integrable Hamiltonian couplings for the AKNS soliton hierarchy.

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