The action-angle transformation for soliton equations

Benno Fuchssteiner and Sandra Carillo

Physica A: Statistical Mechanics and its Applications, 1990, vol. 166, issue 3, 651-675

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.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:166:y:1990:i:3:p:651-675

DOI: 10.1016/0378-4371(90)90078-7

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