Geodesic
Some new methods and results in the theory of ($2+1$)-dimensional integrable equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 185-200

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

The general resolvent scheme for solving nonlinear integrable evolution equations is formulated. Special attention is paid for the problem of nontrivial dressing and corresponding transformation of spectral data. Kadomtsev–Petviashvili equation is considered as the standard example of integrable models in $2+1$ dimensions. Properties of the solution $u(t,x,y)$ of the Kadomtsev–Petviashvili I equation as well as corresponding Jost solutions and spectral data with given initial data $u(0,x,y)$ belonging to the Schwartz space are presented. 
@article{TMF_1994_99_2_a3,
     author = {M. Boiti and F. Pempinelli and A. K. Pogrebkov},
     title = {Some new methods and results in the theory of ($2+1$)-dimensional integrable equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {185--200},
     publisher = {mathdoc},
     volume = {99},
     number = {2},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a3/}
}
TY  - JOUR
AU  - M. Boiti
AU  - F. Pempinelli
AU  - A. K. Pogrebkov
TI  - Some new methods and results in the theory of ($2+1$)-dimensional integrable equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 185
EP  - 200
VL  - 99
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a3/
LA  - en
ID  - TMF_1994_99_2_a3
ER  - 
%0 Journal Article
%A M. Boiti
%A F. Pempinelli
%A A. K. Pogrebkov
%T Some new methods and results in the theory of ($2+1$)-dimensional integrable equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 185-200
%V 99
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a3/
%G en
%F TMF_1994_99_2_a3
M. Boiti; F. Pempinelli; A. K. Pogrebkov. Some new methods and results in the theory of ($2+1$)-dimensional integrable equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 185-200. http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a3/