Pseudo-potentials, nonlocal symmetries and integrability of some shallow water equations

• Enrique G. Reyes ^[1]
  1. [1] University of Oklahoma

     University of Oklahoma

     Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 12, Nº. 2, 2006, págs. 241-270
• Idioma: inglés
• DOI: 10.1007/s00029-006-0024-2
• Enlaces
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• Resumen

  • Zero curvature formulations, pseudo-potentials, modified versions, “Miura transformations”, conservation laws, and nonlocal symmetries of the Korteweg–de Vries, Camassa–Holm and Hunter–Saxton equations are investigated from a unified point of view: these three equations belong to a twoparameter family of equations describing pseudo-spherical surfaces, and therefore their basic integrability properties can be studied by geometrical means.