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$R$-matrices and Hamiltonian Structures for Certain Lax Equations
R-matrix Hamiltonian structure two-component BKP hierarchy
2010/12/28
In this paper R-matrices on a certain class of coupled Lie algebras are obtained.With one of these R-matrices, we construct infinitely many bi-Hamiltonian structures for both the two-component BKP hie...
$R$-matrices and Hamiltonian Structures for Certain Lax Equations
R-matrix Hamiltonian structure two-component BKP hierarchy
2011/3/4
In this paper R-matrices on a certain class of coupled Lie algebras are obtained.With one of these R-matrices, we construct infinitely many bi-Hamiltonian structures for both the two-component BKP hie...
Stable Hamiltonian structures in dimension three are supported by open books
Stable Hamiltonian structures dimension open books
2011/2/22
In dimension three, (cooriented) contact structures are closely related to open books via the following results, the rst due to Thurston-Winkelnkemper [8]and the other ones due to Giroux [6]:(1) Ever...
The conservation of the Hamiltonian structures in the deformations of the Whitham systems
Hamiltonian structures Whitham systems deformations
2010/4/7
We consider the construction of the deformed Whitham system for the KdV-equation in the one-phase case and investigate the conservation of the Hamiltonian properties in this situation. It is shown the...
Infinite-Hamiltonian Structures of the Riemann Equation
Integrability multi-Hamiltonian structures Riemann equation
2010/4/9
We give two distinct infinite-Hamiltonian representations for the Riemann equation. One with first order Hamiltonian operators and another with third order-first order Hamiltonian operators. Both repr...