A Symmetric Generalization of Linear Bäcklund Transformation associated with the Hirota Bilinear Difference Equation
Nobuhiko Shinzawa, Satoru Saito
Abstract
The Hirota bilinear difference equation is generalized to discrete space of arbitrary dimension. Solutions to the nonlinear difference equations can be obtained via Bäcklund transformation of the corresponding linear problems.
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