CONSERVATION LAWS AND SYMMETRY ANALYSIS OF (1+1)-DIMENSIONAL SAWADA-KOTERA EQUATION

Authors :: S. R. Hejazi
E. Lashkarian
Source :: Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, Iss 3(19), Pp 10-19 (2017)
Publication Year :: 2017
Publisher :: KamGU by Vitus Bering, 2017.
Abstract: 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.

Subjects :: Fluid mechanics
Lie symmetry
Partial differential equation
Shear stress
Optimal system
KdV equation
Conservation Laws
Science

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