Geodesic
Quasideterminant solutions of the~extended noncommutative Kadomtsev--Petviashvili hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 1, pp. 51-69

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

We construct a nonauto-Darboux transformation for the extended noncommutative Kadomtsev–Petviashvili (ncKP) hierarchy and consequently derive its quasi-Wronskian solution. We also obtain the quasi-Wronskian solution of the ncKP equation with self-consistent sources (ncKPESCS) as a by-product. Finally, we use the direct verification method to prove the quasi-Wronskian solution of the ncKPESCS.
Keywords: extended noncommutative KP hierarchy, quasi-Wronskian solution, direct verification.
Mots-clés : Darboux transformation 
@article{TMF_2017_192_1_a3,
     author = {Hongxia Wu and Jingxin Liu and Chunxia Li},
     title = {Quasideterminant solutions of the~extended noncommutative {Kadomtsev--Petviashvili} hierarchy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {51--69},
     publisher = {mathdoc},
     volume = {192},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_192_1_a3/}
}
TY  - JOUR
AU  - Hongxia Wu
AU  - Jingxin Liu
AU  - Chunxia Li
TI  - Quasideterminant solutions of the~extended noncommutative Kadomtsev--Petviashvili hierarchy
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2017
SP  - 51
EP  - 69
VL  - 192
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2017_192_1_a3/
LA  - ru
ID  - TMF_2017_192_1_a3
ER  - 
%0 Journal Article
%A Hongxia Wu
%A Jingxin Liu
%A Chunxia Li
%T Quasideterminant solutions of the~extended noncommutative Kadomtsev--Petviashvili hierarchy
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2017
%P 51-69
%V 192
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2017_192_1_a3/
%G ru
%F TMF_2017_192_1_a3
Hongxia Wu; Jingxin Liu; Chunxia Li. Quasideterminant solutions of the~extended noncommutative Kadomtsev--Petviashvili hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 1, pp. 51-69. http://geodesic.mathdoc.fr/item/TMF_2017_192_1_a3/