Artículo de revista
Equations of Lax type with several brackets.
Autor
Felipe, Raúl
Velásquez, Raúl
Institución
Resumen
In the present paper we introduce a new hierarchy, each equation of which is defined
by several brackets of two pseudodifferential operators. We deal with some algebraic
properties of these equations. In particular, we show that, as in the classic case, they
are related to the presence of an infinite sequence of first integrals. A new version of
the Zakharov-Shabat type equations is proved. Formal solutions of this hierarchy are
constructed using a “several brackets bilinear identity”.