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Quasi-Hamiltonian Structure Associated with an Integrable Coupling System

Luo Lin1 and Fan En-Gui2

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GENERAL

Starting from a spectral problem, a corresponding soliton hierarchy is proposed, and we construct an integrable coupling system with five dependent variables for the hierarchy by using a class of semi-direct sums of Lie algebras. Moreover, it is shown that the coupling system possesses quasi-Hamiltionian structures, and that infinitely many conserved quantities are obtained.


PACS

45.20.Jj Lagrangian and Hamiltonian mechanics

02.30.Ik Integrable systems

02.10.Ud Linear algebra

05.45.Yv Solitons

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 5 (May 2009)

Received 22 January 2009



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