New Weierstrass elliptic wave solutions of the Davey–Stewartson equation with power law nonlinearity
Applicationes Mathematicae, Tome 47 (2020) no. 2, pp. 165-182.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Travelling wave solutions for the (2+1)-dimensional Davey–Stewartson-type equations are studied by using the Weierstrass elliptic function method. As a result, some previously known solutions are recovered, and at the same time some new ones are also given including integrable ones. Moreover, three-dimensional and two-dimensional graphics of some solutions are plotted.
DOI : 10.4064/am2386-4-2020
Keywords: travelling wave solutions dimensional davey stewartson type equations studied using weierstrass elliptic function method result previously known solutions recovered time given including integrable moreover three dimensional two dimensional graphics solutions plotted

Abdelfattah El Achab 1

1 LIBMA Laboratory Department of Mathematics Faculty of Sciences Semlalia University Cadi Ayyad Bd. du Prince Moulay Abdellah, B.P. 2390 Marrakech 40.000, Morocco
@article{10_4064_am2386_4_2020,
     author = {Abdelfattah El Achab},
     title = {New {Weierstrass} elliptic wave solutions of the {Davey{\textendash}Stewartson} equation with power law nonlinearity},
     journal = {Applicationes Mathematicae},
     pages = {165--182},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2020},
     doi = {10.4064/am2386-4-2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am2386-4-2020/}
}
TY  - JOUR
AU  - Abdelfattah El Achab
TI  - New Weierstrass elliptic wave solutions of the Davey–Stewartson equation with power law nonlinearity
JO  - Applicationes Mathematicae
PY  - 2020
SP  - 165
EP  - 182
VL  - 47
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am2386-4-2020/
DO  - 10.4064/am2386-4-2020
LA  - en
ID  - 10_4064_am2386_4_2020
ER  - 
%0 Journal Article
%A Abdelfattah El Achab
%T New Weierstrass elliptic wave solutions of the Davey–Stewartson equation with power law nonlinearity
%J Applicationes Mathematicae
%D 2020
%P 165-182
%V 47
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am2386-4-2020/
%R 10.4064/am2386-4-2020
%G en
%F 10_4064_am2386_4_2020
Abdelfattah El Achab. New Weierstrass elliptic wave solutions of the Davey–Stewartson equation with power law nonlinearity. Applicationes Mathematicae, Tome 47 (2020) no. 2, pp. 165-182. doi : 10.4064/am2386-4-2020. http://geodesic.mathdoc.fr/articles/10.4064/am2386-4-2020/

Cité par Sources :