Conservation laws and symmetries of Hunter-Saxton equation: revisited

Kai Tian, Q. P. Liu

Through a reciprocal transformation ${\mathcal{T}}_0$ induced by the conservation law ${\partial }_t(u_x^2)={\partial }_x(2u{u}_x^2)$, the Hunter-Saxton (HS) equation $u_{xt} = 2uu_{2x} +…