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The action-angle transformation for soliton equations

For third order completely integrable equations in 1 + 1 dimensions canonical transformations which map (in the multi-soliton case) gradients of action variables to gradients of angle variables are constructed. Furthermore, this action-angle map is shown always to be an infinitesimal symmetry group generator of the interacting soliton equation.
Year of publication:
1990
Authors: Fuchssteiner, Benno ; Carillo, Sandra
Published in:
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 166.1990, 3, p. 651-675
Publisher: Elsevier
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10010586502
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