Investigating the New Conservation Laws of Hunter-Saxton Equation via Lie Symmetries
الموضوعات : فصلنامه ریاضی
Mehdi Jafari
1
(‎Department of Mathematics‎, ‎Payame Noor University‎, ‎PO BOX 19395-3697‎, ‎Tehran‎, ‎Iran‎.)
Somayeh Sadat Mahdion
2
(Department of Mathematics‎, ‎Payame Noor University‎, ‎PO BOX 19395-3697‎, ‎Tehran‎, ‎Iran)
الکلمات المفتاحية: Lie Symmetries, Conversation laws, Multiplier method, Homotopy operator, Hunter-Saxton equation,
ملخص المقالة :
‎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.
