# Equations of Lax type with a triple bracket.

Extracta Mathematicae (1998)

- Volume: 13, Issue: 3, page 295-302
- ISSN: 0213-8743

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topFelipe, 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 -

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