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.
The action-angle transformation for soliton equations / B., Fuchssteiner; Carillo, Sandra. - In: PHYSICA. A. - ISSN 0378-4371. - STAMPA. - 166:(1990), pp. 651-675. [10.1016/0378-4371(90)90078-7]
The action-angle transformation for soliton equations
CARILLO, Sandra
1990
Abstract
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.File allegati a questo prodotto
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