# Super Darboux-Egoroff equations and solutions

P.H.M. Kersten, Ruud Martini

Research output: Book/ReportReportProfessional

### Abstract

Super Darboux-Egoroff equations are discussed. First of all linearity of the potential $\varphi$ with respect to odd variables is proved. Solutions of Darboux-Egoroff equations in dimension $(2|2)$ including flatness of the unit vector field are constructed. Moreover solutions of Darboux-Egoroff equations in the presence of an Euler vector field are given. In dimension $(3|3)$ solutions of Darboux-Egoroff equations including flatness of unit and presence of Euler field are given.
Original language Undefined Enschede University of Twente, Department of Applied Mathematics 19 Published - 1998

### Publication series

Name Memorandum / Department of Applied Mathematics University of Twente, Department of Applied Mathematics 1472 0169-2690

### Keywords

• METIS-141323
• MSC-35G99
• MSC-35G25
• EWI-3292
• IR-65661

### Cite this

Kersten, P. H. M., & Martini, R. (1998). Super Darboux-Egoroff equations and solutions. (Memorandum / Department of Applied Mathematics; No. 1472). Enschede: University of Twente, Department of Applied Mathematics.
Kersten, P.H.M. ; Martini, Ruud. / Super Darboux-Egoroff equations and solutions. Enschede : University of Twente, Department of Applied Mathematics, 1998. 19 p. (Memorandum / Department of Applied Mathematics; 1472).
@book{38a29b8a316747aabdfcebb9bc78d44a,
title = "Super Darboux-Egoroff equations and solutions",
abstract = "Super Darboux-Egoroff equations are discussed. First of all linearity of the potential $\varphi$ with respect to odd variables is proved. Solutions of Darboux-Egoroff equations in dimension $(2|2)$ including flatness of the unit vector field are constructed. Moreover solutions of Darboux-Egoroff equations in the presence of an Euler vector field are given. In dimension $(3|3)$ solutions of Darboux-Egoroff equations including flatness of unit and presence of Euler field are given.",
keywords = "METIS-141323, MSC-35G99, MSC-35G25, EWI-3292, IR-65661",
author = "P.H.M. Kersten and Ruud Martini",
note = "Imported from MEMORANDA",
year = "1998",
language = "Undefined",
series = "Memorandum / Department of Applied Mathematics",
publisher = "University of Twente, Department of Applied Mathematics",
number = "1472",

}

Kersten, PHM & Martini, R 1998, Super Darboux-Egoroff equations and solutions. Memorandum / Department of Applied Mathematics, no. 1472, University of Twente, Department of Applied Mathematics, Enschede.

Super Darboux-Egoroff equations and solutions. / Kersten, P.H.M.; Martini, Ruud.

Enschede : University of Twente, Department of Applied Mathematics, 1998. 19 p. (Memorandum / Department of Applied Mathematics; No. 1472).

Research output: Book/ReportReportProfessional

TY - BOOK

T1 - Super Darboux-Egoroff equations and solutions

AU - Kersten, P.H.M.

AU - Martini, Ruud

N1 - Imported from MEMORANDA

PY - 1998

Y1 - 1998

N2 - Super Darboux-Egoroff equations are discussed. First of all linearity of the potential $\varphi$ with respect to odd variables is proved. Solutions of Darboux-Egoroff equations in dimension $(2|2)$ including flatness of the unit vector field are constructed. Moreover solutions of Darboux-Egoroff equations in the presence of an Euler vector field are given. In dimension $(3|3)$ solutions of Darboux-Egoroff equations including flatness of unit and presence of Euler field are given.

AB - Super Darboux-Egoroff equations are discussed. First of all linearity of the potential $\varphi$ with respect to odd variables is proved. Solutions of Darboux-Egoroff equations in dimension $(2|2)$ including flatness of the unit vector field are constructed. Moreover solutions of Darboux-Egoroff equations in the presence of an Euler vector field are given. In dimension $(3|3)$ solutions of Darboux-Egoroff equations including flatness of unit and presence of Euler field are given.

KW - METIS-141323

KW - MSC-35G99

KW - MSC-35G25

KW - EWI-3292

KW - IR-65661

M3 - Report

T3 - Memorandum / Department of Applied Mathematics

BT - Super Darboux-Egoroff equations and solutions

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -

Kersten PHM, Martini R. Super Darboux-Egoroff equations and solutions. Enschede: University of Twente, Department of Applied Mathematics, 1998. 19 p. (Memorandum / Department of Applied Mathematics; 1472).