Infinite series solutions of the symmetry equation for the $1+2$ dimensional continuous Toda chain

Abstract

A sequence of solutions to the equation of symmetry for the continuous Toda chain in $1+2$ dimensions is represented in explicit form. This fact leads to the supposition that this equation is completely integrable.

9 pages, latex, no figures

References in corpus (1)

• The symmetry structure of the heavenly equation

Cited by in corpus (1)

• The Solution of the N=2 Supersymmetric f-Toda Chain with Fixed Ends