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Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators
Kupershmidt deformation bi-Hamiltonian systems Rosochatius deformation soliton equation with self-consistent sources
2011/7/6
When both Hamiltonian operators of a bi-Hamiltonian system are
pure differential operators, we show that the generalized Kupershmidt defor-
mation (GKD) developed from the Kupershmidt deformation in...
The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations
Hamiltonian operators bi-Hamiltonian systems evolution equations linearization
2010/12/28
A. de Sole, V. G. Kac, and M. Wakimoto have recently introduced a new family of compatible
Hamiltonian operators of the form H(N,0) = D2 ◦ ((1/u)◦D)2n ◦D, where N = 2n+3, n = 0, 1, ...
The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations
Hamiltonian operators bi-Hamiltonian systems evolution equations linearization
2011/1/20
A. de Sole, V. G. Kac, and M. Wakimoto have recently introduced a new family of compatible
Hamiltonian operators of the form H(N,0) = D2 ◦ ((1/u)◦D)2n ◦D, where N = 2n+3, n = 0, 1, ...