Geodesic
The~Nizhnik--Veselov--Novikov equation with self-consistent sources
Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 1, pp. 130-140

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

We construct the coupled generalization of the Nizhnik–Veselov–Novikov (NVN) equation, i.e., the NVN equation with self-consistent sources (ESCS) and solve it using the so-called source generation procedure. We obtain BKP-type and DKP-type Pfaffian solutions of the NVN ESCS. In addition, we give a bilinear Bäcklund transformation and a Lax pair for the NVN ESCS. Furthermore, this Lax pair can be reduced to a Lax pair for the NVN equation.
Keywords: Nizhnik–Veselov–Novikov equation, self-consistent source, “source generation” procedure, Bäcklund transformation
Mots-clés : Lax pair. 
@article{TMF_2008_157_1_a8,
     author = {Wang Hong-Yan},
     title = {The~Nizhnik--Veselov--Novikov equation with self-consistent sources},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {130--140},
     publisher = {mathdoc},
     volume = {157},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_157_1_a8/}
}
TY  - JOUR
AU  - Wang Hong-Yan
TI  - The~Nizhnik--Veselov--Novikov equation with self-consistent sources
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2008
SP  - 130
EP  - 140
VL  - 157
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2008_157_1_a8/
LA  - ru
ID  - TMF_2008_157_1_a8
ER  - 
%0 Journal Article
%A Wang Hong-Yan
%T The~Nizhnik--Veselov--Novikov equation with self-consistent sources
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2008
%P 130-140
%V 157
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2008_157_1_a8/
%G ru
%F TMF_2008_157_1_a8
Wang Hong-Yan. The~Nizhnik--Veselov--Novikov equation with self-consistent sources. Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 1, pp. 130-140. http://geodesic.mathdoc.fr/item/TMF_2008_157_1_a8/