Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics
Abstract
We are analyzing several types of dynamical systems which are both integrable and important for physical applications. The first type are the so-called peakon systems that appear in the singular solutions of the Camassa-Holm equation describing special types of water waves. The second type are Toda chain systems, that describe molecule interactions. Their complexifications model soliton interactions in the adiabatic approximation. We analyze the algebraic aspects of the Toda chains and describe their real Hamiltonian forms.
DOI
http://doi.org10.21427/zr8q-2g04
Recommended Citation
Gerdjikov, V. Ivanov,R. & Vilasi, G. (2014) Symmetry and Reductions of Integrable Dynamical Systems: Peakon and the Toda Chain Systems, Romanian Astron. J. , Vol. 24, No. 1, p. 37–48. doi:10.21427/zr8q-2g04
Funder
IRC
Included in
Mathematics Commons, Non-linear Dynamics Commons, Ordinary Differential Equations and Applied Dynamics Commons, Partial Differential Equations Commons
Publication Details
Romanian Astron. J. , Vol. 24, No. 1, p. 37–48, Bucharest, 2014