An extension of heat hierarchy

Abstract

We propose a formally completely integrable extension of heat hierarchy based on the space of symmetries isomorphic to the Weyl algebra ${\mathcal{A}}_1$. The extended heat hierarchy will be the basic model for the analysis of the extension of KP hierarchy, and other integrable equations.

This note is incorporated into arXiv:1409.7024, arXiv:1408.3241

References in corpus (1)

• Conservation laws for surfaces of constant mean curvature in 3-dimensional space forms