Investigating the New Conservation Laws of Hunter-Saxton Equation via Lie Symmetries
محورهای موضوعی : 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)
کلید واژه: Lie Symmetries, Conversation laws, Multiplier method, Homotopy operator, Hunter-Saxton equation,
چکیده مقاله :
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.