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