On the case of Kovalevskaya and new examples of integrable conservative systems on S^2
K.P. Hadeler, E.N. Selivanova
TL;DR
This paper introduces new integrable conservative systems on the sphere S^2, expanding the known examples through novel constructions and methods.
Contribution
It presents new integrable cases on S^2 derived from previous models, offering fresh examples in the study of integrable systems.
Findings
New integrable systems on S^2 identified
Construction methods for integrability improved
Expands the catalog of known integrable conservative systems
Abstract
There are new integrable cases due to the construction from the previous version.
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Taxonomy
TopicsNonlinear Waves and Solitons · Quantum chaos and dynamical systems · Advanced Differential Equations and Dynamical Systems