Toda Lattice Hierarchy and Zamolodchikov's Conjecture
Saburo Kakei
Abstract
In this letter, we show that certain Fredholm determinant D(λ;t), introduced by Zamolodchikov in his study of 2D polymers, is a continuum limit of soliton solution for the Toda lattice hierarchy with 2-periodic reduction condition.
Create a lesson
Related papers
Equations of Geodesic Deviation and the Inverse Scattering Transform
Vadim V. Varlamov
Polarization scattering by soliton-soliton collisions
V. S. Shchesnovich
On the bilinear equations for Fredholm determinants appearing in random matrices
J. Harnad
Airy Kernel and Painleve II
Craig A. Tracy, Harold Widom
p-adic Difference-Difference Lotka-Volterra Equation and Ultra-Discrete Limit
Shigeki Matsutani
On the Miura map between the dispersionless KP and dispersionless modified KP hierarchies
Jen-Hsu Chang, Ming-Hsien Tu