New variables of separation for particular case of the Kowalevski top
A V Tsiganov
TL;DR
This paper introduces new variables of separation for a special case of the Kowalevski top, providing explicit methods to find these variables and their relations within polynomial bi-Hamiltonian structures.
Contribution
It presents a detailed explicit procedure for finding variables of separation in a specific Kowalevski top case, advancing integrable systems theory.
Findings
Derived new variables of separation for the Kowalevski top
Established explicit separation relations within bi-Hamiltonian structures
Enhanced understanding of integrable cases with zero square integral
Abstract
We discuss the polynomial bi-Hamiltonian structures for the Kowalevski top in special case of zero square integral. An explicit procedure to find variables of separation and separation relations is considered in detail.
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