GENERAL-SOLUTIONS OF THE MONGE-AMPERE EQUATION IN N-DIMENSIONAL SPACE

Authors
FAIRLIE DB LEZNOV AN
Citation
Db. Fairlie et An. Leznov, GENERAL-SOLUTIONS OF THE MONGE-AMPERE EQUATION IN N-DIMENSIONAL SPACE, Journal of geometry and physics, 16(4), 1995, pp. 385-390
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Journal of geometry and physics → ACNP
ISSN journal
03930440
Volume
16
Issue
4
Year of publication
1995
Pages
385 - 390
Database
ISI
SICI code
0393-0440(1995)16:4<385:GOTMEI>2.0.ZU;2-7
Abstract
It is shown that the general solution of a homogeneous Monge-Ampere eq uation in n-dimensional space is closely connected with the exactly (b ut only implicitly) integrable system partial derivative xi(j)/partial derivative x(0) + Sigma(k=1)(n-1) xi(k) partial derivative xi(j)/part ial derivative x(k) = 0 Using the explicit form of solution of this sy stem it is possible to construct the general solution of the Monge-Amp bre equation.