Proofs of Two Conjectures Related to the Thermodynamic Bethe Ansatz
Craig A. Tracy, Harold Widom
Abstract
We prove that the solution to a pair of nonlinear integral equations arising in the thermodynamic Bethe Ansatz can be expressed in terms of the resolvent kernel of the linear integral operator with kernel exp(-u(theta)-u(theta'))/cosh[(1/2)(theta-theta')]
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