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The action-angle transformation for soliton equations

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  • Fuchssteiner, Benno
  • Carillo, Sandra

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.

Suggested Citation

  • Fuchssteiner, Benno & Carillo, Sandra, 1990. "The action-angle transformation for soliton equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 166(3), pages 651-675.
    • Handle: RePEc:eee:phsmap:v:166:y:1990:i:3:p:651-675
    DOI: 10.1016/0378-4371(90)90078-7
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    References listed on IDEAS

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    1. Fuchssteiner, Benno & Carillo, Sandra, 1989. "Soliton structure versus singularity analysis: Third-order completely intergrable nonlinear differential equations in 1 + 1-dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(3), pages 467-510.
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