333 citations
- University of LiverpoolGB7 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Institute of PhysicsPL4 papers
- Max Planck Institute for the Physics of Complex SystemsDE3 papers
- Ruhr University BochumDE3 papers
- Russian Academy of SciencesRU3 papers
- The Ohio State UniversityUS3 papers
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- University of RostockDE3 papers
- Adam Mickiewicz University in PoznańPL2 papers
- Durham UniversityGB2 papers
- Heinrich Heine University DüsseldorfDE2 papers
4 papers · 1 filter
Staeckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions
Maciej Blaszak, Krzysztof Marciniak
We show how to generate coupled KdV hierarchies from Staeckel separable systems of Benenti type. We further show that solutions of these Staeckel systems generate a large class of…
Continuous and discontinuous piecewise linear solutions of the linearly forced inviscid Burgers equation
Hans Lundmark, Jacek Szmigielski
We study a class of piecewise linear solutions to the inviscid Burgers equation driven by a linear forcing term. Inspired by the analogy with peakons, we think of these solutions a…
Non-Hamiltonian systems separable by Hamilton-Jacobi method
Krzysztof Marciniak, Maciej Blaszak
We show that with every separable calssical Stackel system of Benenti type on a Riemannian space one can associate, by a proper deformation of the metric tensor, a multi-parameter…
Phase Space of Rolling Solutions of the Tippe Top
S. Torkel Glad, Daniel Petersson, Stefan Rauch-Wojciechowski
Equations of motion of an axially symmetric sphere rolling and sliding on a plane are usually taken as model of the tippe top. We study these equations in the nonsliding regime bot…