Geodesic
Conservation laws and symmetry analysis of (1+1)-dimensional Sawada-Kotera equation
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2017), pp. 10-19

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

The paper addresses an extended (1+1)-dimensional Sawada-Kotera (SK) equation. The Lie symmetry analysis leads to many plethora of solutions to the equation. The non-linear self-adjointness condition for the SK equation established and subsequently used to construct simplified independent conserved vectors. In particular, we also get conservation laws of the equation with the corresponding Lie symmetry.
Keywords: Fluid mechanics, Lie symmetry, Partial differential equation, Shear stress, Optimal system, Partial differential equation, KdV equation, Lie symmetry, Conservation Laws. 
@article{VKAM_2017_3_a1,
     author = {R.S. Hejazi and E. Lashkarian},
     title = {Conservation laws and symmetry analysis of (1+1)-dimensional {Sawada-Kotera} equation},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {10--19},
     publisher = {mathdoc},
     number = {3},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2017_3_a1/}
}
TY  - JOUR
AU  - R.S. Hejazi
AU  - E. Lashkarian
TI  - Conservation laws and symmetry analysis of (1+1)-dimensional Sawada-Kotera equation
JO  - Vestnik KRAUNC. Fiziko-matematičeskie nauki
PY  - 2017
SP  - 10
EP  - 19
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VKAM_2017_3_a1/
LA  - en
ID  - VKAM_2017_3_a1
ER  - 
%0 Journal Article
%A R.S. Hejazi
%A E. Lashkarian
%T Conservation laws and symmetry analysis of (1+1)-dimensional Sawada-Kotera equation
%J Vestnik KRAUNC. Fiziko-matematičeskie nauki
%D 2017
%P 10-19
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VKAM_2017_3_a1/
%G en
%F VKAM_2017_3_a1
R.S. Hejazi; E. Lashkarian. Conservation laws and symmetry analysis of (1+1)-dimensional Sawada-Kotera equation. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2017), pp. 10-19. http://geodesic.mathdoc.fr/item/VKAM_2017_3_a1/