76 citations · 244 across the 22 of their papers we have counts for
4 papers · 1 filter
The Algebro-Geometric Initial Value Problem for the Relativistic Lotka-Volterra Hierarchy and Quasi-Periodic Solutions
Peng Zhao, Engui Fan, Yu Hou
We provide a detailed treatment of relativistic Lotka-Volterra hierarchy and a kind of initial value problem with special emphasis on its the theta function representation of all a…
A 5d/3d duality from relativistic integrable system
Heng-Yu Chen, Timothy J. Hollowood, Peng Zhao
We propose and prove a new exact duality between the F-terms of supersymmetric gauge theories in five and three dimensions with adjoint matter fields. The theories are compactified…
The Algebro-Geometric Solutions for the Ruijsenaars-Toda Hierarchy
Peng Zhao, Engui Fan, Yu Hou
We provide a detailed treatment of Ruijsenaars-Toda (RT) hierarchy with special emphasis on its the theta function representation of all algebro-geometric solutions. The basic tool…
The algebro-geometric solutions for Degasperis-Procesi hierarchy
Yu Hou, Peng Zhao, Engui Fan +1
Though completely integrable Camassa-Holm (CH) equation and Degasperis-Procesi (DP) equation are cast in the same peakon family, they possess the second- and third-order Lax operat…