G-Strands and Peakon Collisions on Diff(R)
A G-strand is a map g: R×R→G for a Lie group G that follows from Hamilton's principle for a certain class of G-invariant Lagrangians. Some G-strands on finite-dimensional groups satisfy 1+1 space-time evolutionary equations that admit soliton solutions as completely integrable Hamiltonian syste...
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Date: | 2013 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2013
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/149231 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | G-Strands and Peakon Collisions on Diff(R) / D.D. Holm, R.I. Ivanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 32 назв. — англ. |