Classification of the Calogero equations with respect to point transformations
Year: 2025
Type: article
Abstract: The article is devoted to the problem of classification of Calogero-type equations with respect to point transformations. It is known that Calogero equations can be reduced to linear equations using contact transformations, provided that the function f is quadratic. However, for an arbitrary function f the equivalence problem is open. Admissible point transformations that preserve the class of Calogero equations are considered. We construct differential invariants with respect to such transformations and apply them to solve the equivalence problem.
Source: Russian Mathematics
Authors: V. P. Kuznetsova, I. S. Streltsova
Institution: Astrakhan Tatischev State University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4408008498