Add to ORKGAn infinite number of families of quasi-bi-Hamiltonian (QBH) systems can be constructed from the constrained flows of soliton equations. The Nijenhuis coordinates for the QBH systems are proved to be exactly the same as the separation variables introduced by the Lax matrices for the constrained flows.
A symmetry constraint for the MKdV integrable hierarchy is presented by binary nonlinearization. The...
AbstractWe study completely integrable quasi-bi-Hamiltonian systems whose common level surfaces are ...
In this paper, a symplectic algorithm is utilized to investigate constrained Hamiltonian systems. Ho...
Two quasi--biHamiltonian systems with three and four degrees of freedom are presented. These systems...
In contrast to mono-constrained flows with N degrees of freedom, binary constrained flows of soliton...
It is shown that a class of dynamical systems (encompassing the one recently considered by F. Caloge...
It is known that integrability properties of soliton equations follow from the existence of Lenard c...
We discuss from a bi-Hamiltonian point of view the Hamilton-Jacobi separability of a few dynamical s...
This is a survey of the application of the classical R-matrix formalism to the construction of infin...
This is a survey of the application of the classical R-matrix formalism to the construction of infin...
<正> The present paper proposes a new classification of constraints of Hamilronian systems and ...
The bi-Hamiltonian structure of certain multicomponent integrable systems, generalizations of the di...
AbstractVariation of coupling constants of integrable system can be considered as canonical transfor...
We propose a general framework for constructing systematically the Lax formulation of the soliton eq...
The existence of quasi-bi-Hamiltonian structures for the Kepler problem is studied. We first relate ...
A symmetry constraint for the MKdV integrable hierarchy is presented by binary nonlinearization. The...
AbstractWe study completely integrable quasi-bi-Hamiltonian systems whose common level surfaces are ...
In this paper, a symplectic algorithm is utilized to investigate constrained Hamiltonian systems. Ho...
Two quasi--biHamiltonian systems with three and four degrees of freedom are presented. These systems...
In contrast to mono-constrained flows with N degrees of freedom, binary constrained flows of soliton...
It is shown that a class of dynamical systems (encompassing the one recently considered by F. Caloge...
It is known that integrability properties of soliton equations follow from the existence of Lenard c...
We discuss from a bi-Hamiltonian point of view the Hamilton-Jacobi separability of a few dynamical s...
This is a survey of the application of the classical R-matrix formalism to the construction of infin...
This is a survey of the application of the classical R-matrix formalism to the construction of infin...
<正> The present paper proposes a new classification of constraints of Hamilronian systems and ...
The bi-Hamiltonian structure of certain multicomponent integrable systems, generalizations of the di...
AbstractVariation of coupling constants of integrable system can be considered as canonical transfor...
We propose a general framework for constructing systematically the Lax formulation of the soliton eq...
The existence of quasi-bi-Hamiltonian structures for the Kepler problem is studied. We first relate ...
A symmetry constraint for the MKdV integrable hierarchy is presented by binary nonlinearization. The...
AbstractWe study completely integrable quasi-bi-Hamiltonian systems whose common level surfaces are ...
In this paper, a symplectic algorithm is utilized to investigate constrained Hamiltonian systems. Ho...