Geodesic
Expressions in Fredholm determinants for solutions of the~strict KP hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 193-209

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

We present explicit expressions for wave functions and also their duals in terms of two Fredholm determinants that correspond to the geometric Segal–Wilson construction.
Keywords: pseudodifferential operator, (strict) KP hierarchy, (dual) linearization, (dual) oscillating function, (dual) wave function, line bundle, Fredholm determinant, $\tau$-function. 
@article{TMF_2019_199_2_a1,
     author = {G. F. Helminck and E. A. Panasenko},
     title = {Expressions in {Fredholm} determinants for solutions of the~strict {KP} hierarchy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {193--209},
     publisher = {mathdoc},
     volume = {199},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a1/}
}
TY  - JOUR
AU  - G. F. Helminck
AU  - E. A. Panasenko
TI  - Expressions in Fredholm determinants for solutions of the~strict KP hierarchy
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2019
SP  - 193
EP  - 209
VL  - 199
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a1/
LA  - ru
ID  - TMF_2019_199_2_a1
ER  - 
%0 Journal Article
%A G. F. Helminck
%A E. A. Panasenko
%T Expressions in Fredholm determinants for solutions of the~strict KP hierarchy
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2019
%P 193-209
%V 199
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a1/
%G ru
%F TMF_2019_199_2_a1
G. F. Helminck; E. A. Panasenko. Expressions in Fredholm determinants for solutions of the~strict KP hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 193-209. http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a1/