Densities and fluxes of the conservation laws for the Kuramoto-Sivashinsky equation
الموضوعات :
M. Jafari
1
,
Y. Alipour Fakhri
2
,
M. Khadivar
3
1 - Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran
2 - Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran
3 - Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran
الکلمات المفتاحية: KS equation, Conversation laws, scaling symmetry, homotopy operator,
ملخص المقالة :
In this paper, the main purpose is to calculate the conservation laws of Kuramoto-Sivashinsky equation using the scaling method. Linear algebra and calculus of variations are used in this algorithmic method. Also the density of the conservation law is obtained by scaling symmetries of the equation and the flux corresponding to the density is calculated using the homotopy operator.
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