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

محورهای موضوعی : فصلنامه ریاضی

Mehdi Jafari ¹ , Somayeh Sadat Mahdion ²

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

تاریخ دریافت : 1401/12/11 تاریخ پذیرش : 1402/03/25 تاریخ انتشار : 1402/03/11

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.

چکیده انگلیسی:

‎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.