125 citations · 885 across the 45 of their papers we have counts for
5 papers · 1 filter
Separation of variables for soliton equations via their binary constrained flows
Yunbo Zeng, Wen-Xiu Ma
Binary constrained flows of soliton equations admitting Lax matrices have 2N degrees of freedom, which is twice as many as degrees of freedom in the case of mono-constr…
Families of quai-bi-Hamiltonian systems and separability
Yunbo Zeng, Wen-Xiu Ma
It is shown how to construct an infinite number of families of quasi-bi-Hamiltonian (QBH) systems by means of the constrained flows of soliton equations. Three explicit QBH structu…
The relation between the Toda hierarchy and the KdV hierarchy
Yunbo Zeng, Runliang Lin, Xin Cao
Under three relations connecting the field variables of Toda flows and that of KdV flows, we present three new sequences of combination of the equations in the Toda hierarchy which…
The separability and dynamical -matrix for the constrained flows of Jaulent-Miodek hierarchy
Yunbo Zeng
We show here the separability of Hamilton-Jacobi equation for a hierarchy of integrable Hamiltonian systems obtained from the constrained flows of the Jaulent-Miodek hierarchy. The…
Classical Poisson structures and r-matrices from constrained flows
Yunbo Zeng, Jarmo Hietarinta
We construct the classical Poisson structure and -matrix for some finite dimensional integrable Hamiltonian systems obtained by constraining the flows of soliton equations in a…