363 citations · 1.3k across the 53 of their papers we have counts for
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Bihamiltonian Systems of Hydrodynamic Type and Reciprocal Transformations
Ting Xue, Youjin Zhang
We prove that under certain linear reciprocal transformation, an evolutionary PDE of hydrodynamic type that admits a bihamiltonian structure is transformed to a system of the same…
On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs
Si-Qi Liu, Youjin Zhang
For certain class of perturbations of the equation , we prove the existence of change of coordinates, called quasi-Miura transformations, that reduce these perturbed…
Extended affine Weyl groups and Frobenius manifolds -- II
Boris Dubrovin, Youjin Zhang, Dafeng Zuo
For the root system of type and , we generalize the result of \cite{DZ1998} by showing the existence of a Frobenius manifold structure on the orbit space of the extended…
A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions
Ming Chen, Si-Qi Liu, Youjin Zhang
An explicit reciprocal transformation between a 2-component generalization of the Camassa-Holm equation, called the 2-CH system, and the first negative flow of the AKNS hierarchy i…