Investigating the New Conservation Laws of Hunter-Saxton Equation via Lie Symmetries

International Journal of Mathematical Modelling & Computations

دوره 13، 2 (SPRING) - شماره پیاپی 50، شهریور 2023

نوع مقاله: Full Length Article

شناسه دیجیتال (DOI): 10.30495/ijm2c.2023.1982280.1271

نویسندگان

Mehdi Jafari^{* 1}؛ Somayeh Sadat Mahdion²

¹‎Department of Mathematics‎, ‎Payame Noor University‎, ‎PO BOX 19395-3697‎, ‎Tehran‎, ‎Iran‎.

²Department of Mathematics‎, ‎Payame Noor University‎, ‎PO BOX 19395-3697‎, ‎Tehran‎, ‎Iran

چکیده

‎In this research‎, ‎using the multiplier method and the 2-dimensional‎ homotopy operator‎, ‎higher order conservation laws for the‎ ‎Hunter-Saxton equation are computed‎. ‎Also‎, ‎in order to construct new‎ ‎conservation laws‎, ‎the invariance properties of the multipliers are‎ ‎studied using Lie classical symmetries‎.

کلیدواژه‌ها

Lie Symmetries؛ ‎ Conversation laws؛ ‎ Multiplier‎ method‎؛ Homotopy operator؛ ‎ Hunter-Saxton equation