Geodesic
Conjugate chains of discrete symmetries in $(1+2)$ nonlinear equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 3, pp. 419-428

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

We construct dressing chains of discrete symmetries for the Kadomtsev–Petviashvili equations and show that these equations admit two types of chains, which we call conjugate. We discuss the scheme of constructing dressing chains for the Boiti–Leon–Pempinelli equations. We find a nonsingular solution of these equations that is exponentially localized along some directions in the dissipative plane and is rational along other directions. 
@article{TMF_1999_119_3_a5,
     author = {A. V. Yurov},
     title = {Conjugate chains of discrete symmetries in $(1+2)$ nonlinear equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {419--428},
     publisher = {mathdoc},
     volume = {119},
     number = {3},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_119_3_a5/}
}
TY  - JOUR
AU  - A. V. Yurov
TI  - Conjugate chains of discrete symmetries in $(1+2)$ nonlinear equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1999
SP  - 419
EP  - 428
VL  - 119
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1999_119_3_a5/
LA  - ru
ID  - TMF_1999_119_3_a5
ER  - 
%0 Journal Article
%A A. V. Yurov
%T Conjugate chains of discrete symmetries in $(1+2)$ nonlinear equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1999
%P 419-428
%V 119
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1999_119_3_a5/
%G ru
%F TMF_1999_119_3_a5
A. V. Yurov. Conjugate chains of discrete symmetries in $(1+2)$ nonlinear equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 3, pp. 419-428. http://geodesic.mathdoc.fr/item/TMF_1999_119_3_a5/