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

Journal of Linear and Topological Algebra

دوره 11، شماره 01، خرداد 2022، صفحه 47-54   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2022.1951652.1466

نویسندگان

M. Jafari^* ؛ Y. Alipour Fakhri؛ M. Khadivar

Department of Mathematics‎, ‎Payame Noor University‎, ‎PO BOX 19395-4697‎, ‎Tehran‎, ‎Iran

چکیده

‎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.

کلیدواژه‌ها

KS equation‎؛ ‎Conversation laws‎؛ ‎scaling symmetry‎؛ ‎homotopy operator

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