Geodesic
Local algebraic analysis of differential systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 183 (2015) no. 3, pp. 342-358

Voir la notice de l'article provenant de la source Math-Net.Ru

We propose a new approach for studying the compatibility of partial differential equations. This approach is a synthesis of the Riquier method, Gröbner basis theory, and elements of algebraic geometry. As applications, we consider systems including the wave equation and the sine-Gordon equation.
Keywords: compatibility of differential equations, reduction, Gröbner basis. 
@article{TMF_2015_183_3_a0,
     author = {O. V. Kaptsov},
     title = {Local algebraic analysis of differential systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {342--358},
     publisher = {mathdoc},
     volume = {183},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a0/}
}
TY  - JOUR
AU  - O. V. Kaptsov
TI  - Local algebraic analysis of differential systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2015
SP  - 342
EP  - 358
VL  - 183
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a0/
LA  - ru
ID  - TMF_2015_183_3_a0
ER  - 
%0 Journal Article
%A O. V. Kaptsov
%T Local algebraic analysis of differential systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2015
%P 342-358
%V 183
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a0/
%G ru
%F TMF_2015_183_3_a0
O. V. Kaptsov. Local algebraic analysis of differential systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 183 (2015) no. 3, pp. 342-358. http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a0/