Gauge and dual symmetries and linearization of Hirota’s bilinear equations

DOI10.1063/1.527545zbMath0697.35129OpenAlexW2067757395MaRDI QIDQ3473528

Noriko Saitoh, Satoru Saito

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527545

zbMATH Keywords

gauge transformationsKadomtsev-Petviashvili hierarchyHirota's equationduality equationsgeneralized Toda equation

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Hermite-Padé approximation and integrability, Discrete Hirota dynamics for AdS/CFT, Discrete Toda field equations, Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics, Discrete KP equation with self-consistent sources, An extension of the Hirota bilinear difference equation, Hirota equation and Bethe ansatz, Non-autonomous multidimensional Toda system and multiple interpolation problem

Cites Work

• Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II
• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• On Hirota's difference equations
• A Transformation Connecting the Toda Lattice and the K-dV Equation
• Bäcklund transformations connecting different isospectral deformation equations