THE PAINLEVE PROPERTY FOR THE 3 - DIMENSIONAL MODEL
Authors:
Type:
Article
Pages:
from 144
to 147
Status:
Published
Received:
29.08.2014
Accepted:
06.10.2014
Published:
06.10.2014
Language:
Russian
Keywords:
nonlinear equation in partial derivatives, a couple Lax, Painleve property
Abstract (English):
Investigated the three-dimensional nonlinear equation in partial derivatives with a couple Lax, with differential operators, the coefficients which are of the view matrix 22. This equation is tested by the Painleve property. Found the solution in the form of Laurent series.
Investigated the three-dimensional nonlinear equation in partial derivatives with a couple Lax, with differential operators, the coefficients which are of the view matrix 22. This equation is tested by the Painleve property. Found the solution in the form of Laurent series.
Keywords:
nonlinear equation in partial derivatives, a couple Lax, Painleve property
nonlinear equation in partial derivatives, a couple Lax, Painleve property
Предметом исследования является наличие свойства Пенлеве у дифференциального уравнения с частными производными .
1. Cosgrove C.M. Painleve classification of all similinear partial differential equations of the second order. - Stud. Appl. Math. 1993. V. 89. P. 1-61.
2. Weiss J., Tabor M., Carnevale G. The Painleve property for partial differential equations. - J. Math. Phys. 1983. V. 24. № 3. P. 522 - 526.
3. Surneva O.B. 2+1 -mernoe differentsial´noe uravnenie v chastnykh proizvodnykh obladayushchee paroy Laksa//Materiály VIII mezinárodní vědecko - praktická konference «Zprávy vědecké ideje - 2012». - Díl 21. Matematika. Fyzika. Moderní informační technologie. Výstavba a architektura: Praha. 2012. S. 3-5.
