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.
1990
action-angle transformation; soliton equations
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/391391
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