A generalization of determinant formulas for the solutions of Painlevé II and XXXIV equations
K. Kajiwara, T. Masuda
Abstract
A generalization of determinant formulas for the classical solutions of Painlevé XXXIV and Painlevé II equations are constructed using the technique of Darboux transformation and Hirota's bilinear formalism. It is shown that the solutions admit determinant formulas even for the transcendental case.
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