An Exterior Differential System for a Generalized Korteweg-de Vries Equation and its Associated Integrability

• Autores: Paul Bracken
• Localización: Acta applicandae mathematicae, ISSN 0167-8019, Vol. 95, Nº. 3, 2007, págs. 223-231
• Idioma: inglés
• DOI: 10.1007/s10440-007-9086-1
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• Resumen

  • The method of Cartan is reviewed by applying it to the classical Korteweg-de Vries equation. The method is then applied to a new generalized Korteweg-de Vries equation for which a prolongation is obtained. As a consequence, a Bäcklund transformation for the equation is derived as well as the associated potential equation.