3 papers
nlin.SI2001
Gauge Transformations and Weak Lax Equation
Takeshi Fukuyama, Kiyoshi Kamimura, Kouichi Toda
We consider several integrable systems from a standpoint of the SL(2,R) invariant gauge theory. In the Drinfeld-Sokorov gauge, we get a one parameter family of nonlinear equations…
solv-int1998
Hierarchy of Higher Dimensional Integrable System
Yu Song-Ju, Kouichi Toda, Takeshi Fukuyama
Integrable equations in () dimensions have their own higher order integrable equations, like the KdV, mKdV and NLS hierarchies etc. In this paper we consider whether integra…
solv-int1998
N Soliton Solutions to The Bogoyavlenskii-Schiff Equation and A Quest for The Soliton Solution in (3 + 1) Dimensions
Yu. S. J, K. Toda, N. Sasa +1
We study the integrable systems in higher dimensions which can be written not by the Hirota's bilinear form but by the trilinear form. We explicitly discuss about the Bogoyavlenski…