7 citations · 28 across the 9 of their papers we have counts for
9 papers
Deformation of scalar generalized bi-Hamiltonian structure
Zhe Wang
We study the classification of scalar generalized bi-Hamiltonian structures with semisimple leading terms. As an application, we prove the existence of integrable viscous conservat…
Generalised (bi-)Hamiltonian structures of hydrodynamic type and (bi-)flat F-manifolds
Paolo Lorenzoni, Zhe Wang
We introduce the notions of generalised (bi-)Hamiltonian structures which generalise naturally the (bi-)Hamiltonian structures of evolutionary partial differential equations. In th…
Variational Bihamiltonian Cohomologies and Integrable Hierarchies III: Linear Reciprocal Transformations
Si-Qi Liu, Zhe Wang, Youjin Zhang
For an integrable hierarchy which possesses a bihamiltonian structure with semisimple hydrodynamic limit, we prove that the linear reciprocal transformation with respect to any of…
Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals
Si-Qi Liu, Zhe Wang, Youjin Zhang
We construct a certain reduction of the 2D Toda hierarchy and obtain a tau-symmetric Hamiltonian integrable hierarchy. This reduced integrable hierarchy controls the linear Hodge i…
Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds
Si-Qi Liu, Zhe Wang, Youjin Zhang
For any semisimple Frobenius manifold, we prove that a tau-symmetric bihamiltonian deformation of its Principal Hierarchy admits an infinite family of linearizable Virasoro symmetr…
Variational Bihamiltonian Cohomologies and Integrable Hierarchies II: Virasoro symmetries
Si-Qi Liu, Zhe Wang, Youjin Zhang
We prove that for any tau-symmetric bihamiltonian deformation of the tau-cover of the Principal Hierarchy associated with a semisimple Frobenius manifold, the deformed tau-cover ad…
Variational Bihamiltonian Cohomologies and Integrable Hierarchies I: Foundations
Si-Qi Liu, Zhe Wang, Youjin Zhang
This series of papers is devoted to the study of deformations of Virasoro symmetries of the principal hierarchies associated to semisimple Frobenius manifolds. The main tool we use…
Discrete Darboux system with self-consistent sources and its symmetric reduction
Adam Doliwa, Runliang Lin, Zhe Wang
The discrete non-commutative Darboux system of equations with self-consistent sources is constructed, utilizing both the vectorial fundamental (binary Darboux) transformation and t…
Super tau-covers of bihamiltonian integrable hierarchies
Si-Qi Liu, Zhe Wang, Youjin Zhang
We consider a certain super extension, called the super tau-cover, of a bihamiltonian integrable hierarchy which contains the Hamiltonian structures including both the local and no…