Scientific articles

Scaling invariance of the strict KP hierarchy

G. F. Helminck^a, E. A. Panasenko<sup>b

a</sup> KdV Institute, University of Amsterdam
^b Derzhavin Tambov State University

Abstract: In this paper we show first of all that for solutions of the strict KP hierarchy it is sufficient to work in a standard setting. Further we discuss a minimal realization of the hierarchy and present the scaling invariance of the Lax equations of the hierarchy.

Keywords: pseudo differential operators, Lax equations, strict KP hierarchy, scaling transformations, minimal realization.

UDC: 517.958+517.98

Received: 26.07.2020

Language: English

DOI: 10.20310/2686-9667-2020-25-131-331-340