Geodesic
Solution of a~nonlinear Schr\"odinger equation in the~form of two-phase
Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 1, pp. 89-103

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

We construct a family of two-gap solutions of the focusing nonlinear Schrödinger equation and derive a condition under which the solutions behave as the so-called freak waves located at the nodes of a two-dimensional lattice. We also study how the lattice parameters depend on the parameters of the spectral curve.
Mots-clés : rogue wave
Keywords: freak wave, nonlinear Schrödinger equation, theta function, reduction, covering. 
@article{TMF_2012_173_1_a4,
     author = {A. O. Smirnov},
     title = {Solution of a~nonlinear {Schr\"odinger} equation in the~form of two-phase},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {89--103},
     publisher = {mathdoc},
     volume = {173},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_173_1_a4/}
}
TY  - JOUR
AU  - A. O. Smirnov
TI  - Solution of a~nonlinear Schr\"odinger equation in the~form of two-phase
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2012
SP  - 89
EP  - 103
VL  - 173
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2012_173_1_a4/
LA  - ru
ID  - TMF_2012_173_1_a4
ER  - 
%0 Journal Article
%A A. O. Smirnov
%T Solution of a~nonlinear Schr\"odinger equation in the~form of two-phase
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2012
%P 89-103
%V 173
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2012_173_1_a4/
%G ru
%F TMF_2012_173_1_a4
A. O. Smirnov. Solution of a~nonlinear Schr\"odinger equation in the~form of two-phase. Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 1, pp. 89-103. http://geodesic.mathdoc.fr/item/TMF_2012_173_1_a4/