Densities and fluxes of the conservation laws for the Kuramoto-Sivashinsky equation

الموضوعات :

M. Jafari ¹ (Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran)
Y. Alipour Fakhri ² (Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran)
M. Khadivar ³ (Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran)

تاريخ الإرسال : 03 الجمعة , رجب, 1443 تاريخ التأكيد : 21 الخميس , شعبان, 1443 تاريخ الإصدار : 22 الجمعة , شعبان, 1443

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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