Integrability of a double bracket system

RAÚL FELIPE^a, NANCY LÓPEZ REYES^{b, *
a} Centro de Investigaciones Matemáticas, Callejón Jalisco s/n Mineral de Valenciana,Guanajuato, Gto., México.
^b Universidad de Antioquia, Instituto de Matemáticas, Facultad de Ciencias Exactas y Naturales, Medellín, Colombia.

Abstract. A group factorization approach is used to show the integrability of a system of infinite equations of Lax type with double bracket.
Keywords: Lax equations, Brockett hierarchy, completely integrable systems.
MSC2010: 35Q58, 37K10

Integrabilidad de un sistema con doble conmutador

Resumen. Se utiliza un enfoque algebraico basado en la descomposión de grupos para mostrar la integrabilidad de un sistema de infinitas ecuaciones de Lax con doble corchete.
Palabras claves: Ecuación de Lax, jerarquía Brockett, sistema completamente integrable.

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^*Corresponding author: E-mail :nancylr@matematicas.udea.edu.co.
Received: 24 January 2013, Accepted: 01 May 2013.