Lax representation for the systems of S.Kowalevskaya type
A.M. Perelomov
TL;DR
This paper introduces a class of dynamical systems generalizing Kowalevskaya's system, which admit a Lax representation, facilitating their analysis and solution.
Contribution
It presents new dynamical systems of Kowalevskaya type that possess a Lax representation, expanding the understanding of integrable systems.
Findings
Identification of generalized Kowalevskaya systems with Lax representations
Extension of integrable system classes
Potential for new solutions and analysis methods
Abstract
We descibe a number of dynamical systems that are generalizations of S. Kowalevskaya system and admit the Lax representation.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Nonlinear Waves and Solitons · Quantum chaos and dynamical systems