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

Subject Areas : International Journal of Mathematical Modelling & Computations

Mehdi Jafari ¹ , Somayeh Sadat Mahdion ²

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

Received: 2023-03-02 Accepted : 2023-06-15 Published : 2023-06-01

Keywords: Lie Symmetries, ‎ Conversation laws, ‎ Multiplier‎ method‎, Homotopy operator, ‎ Hunter-Saxton equation,

Abstract :

‎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.