Geodesic
Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg--de~Vries equations
Russian journal of nonlinear dynamics, Tome 7 (2011) no. 2, pp. 239-256

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

The behavior of the two-gap elliptic solutions of the Boussinesq and the KdV equations was examined. These solutions were constructed by the $n$-sheet covering over a torus ($n\leqslant3$). It was shown that the shape of the two-gap elliptic solutions depends on $n$ and doesn't depend on the kind of the nonlinear wave equation.
Mots-clés : soliton, Boussinesq equation
Keywords: KdV equation, theta-function, reduction, covering. 
@article{ND_2011_7_2_a3,
     author = {A. O. Smirnov and G. M. Golovachev and E. G. Amosenok},
     title = {Two-gap 3-elliptic solutions of the {Boussinesq} and the {Korteweg--de~Vries} equations},
     journal = {Russian journal of nonlinear dynamics},
     pages = {239--256},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2011_7_2_a3/}
}
TY  - JOUR
AU  - A. O. Smirnov
AU  - G. M. Golovachev
AU  - E. G. Amosenok
TI  - Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg--de~Vries equations
JO  - Russian journal of nonlinear dynamics
PY  - 2011
SP  - 239
EP  - 256
VL  - 7
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2011_7_2_a3/
LA  - ru
ID  - ND_2011_7_2_a3
ER  - 
%0 Journal Article
%A A. O. Smirnov
%A G. M. Golovachev
%A E. G. Amosenok
%T Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg--de~Vries equations
%J Russian journal of nonlinear dynamics
%D 2011
%P 239-256
%V 7
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2011_7_2_a3/
%G ru
%F ND_2011_7_2_a3
A. O. Smirnov; G. M. Golovachev; E. G. Amosenok. Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg--de~Vries equations. Russian journal of nonlinear dynamics, Tome 7 (2011) no. 2, pp. 239-256. http://geodesic.mathdoc.fr/item/ND_2011_7_2_a3/