Equations of Lax type with a triple bracket.

Felipe, Raúl, and Velásquez, Raúl. "Equations of Lax type with a triple bracket.." Extracta Mathematicae 13.3 (1998): 295-302. <http://eudml.org/doc/38577>.

@article{Felipe1998,
abstract = {Equations with several brackets arose originally in the works of Brockett [2], [3] (for ordinary differential equations) and Felipe [5] (for partial differential equations) of double bracket equations of Lax type. The purpose of this note is to study triple bracket equations of the form:∂L / ∂t = [L,[L,[L,P]]]. deal with some algebraic properties of these equations, in particular we show that, as in the classical case, they are related to the presence of an infinite sequence of first integrals. We also exhibit some new integrable systems.},
author = {Felipe, Raúl, Velásquez, Raúl},
journal = {Extracta Mathematicae},
keywords = {Operadores pseudodiferenciales; Ecuaciones diferenciales en derivadas parciales; Funciones polinómicas; Ecuaciones integrales; triple bracket equations; algebraic properties},
language = {eng},
number = {3},
pages = {295-302},
title = {Equations of Lax type with a triple bracket.},
url = {http://eudml.org/doc/38577},
volume = {13},
year = {1998},
}

TY - JOUR
AU - Felipe, Raúl
AU - Velásquez, Raúl
TI - Equations of Lax type with a triple bracket.
JO - Extracta Mathematicae
PY - 1998
VL - 13
IS - 3
SP - 295
EP - 302
AB - Equations with several brackets arose originally in the works of Brockett [2], [3] (for ordinary differential equations) and Felipe [5] (for partial differential equations) of double bracket equations of Lax type. The purpose of this note is to study triple bracket equations of the form:∂L / ∂t = [L,[L,[L,P]]]. deal with some algebraic properties of these equations, in particular we show that, as in the classical case, they are related to the presence of an infinite sequence of first integrals. We also exhibit some new integrable systems.
LA - eng
KW - Operadores pseudodiferenciales; Ecuaciones diferenciales en derivadas parciales; Funciones polinómicas; Ecuaciones integrales; triple bracket equations; algebraic properties
UR - http://eudml.org/doc/38577
ER -