Analysis of generalized quasilinear hyperbolic and Boussinesq equations from the point of view of potential symmetry

Document Type : Original Article


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


Using the Lie classical method, the potential symmetry of the generalized hyperbolic quasilinear and Boussinesq equations is investigated. To find these symmetries in specific cases, we study various scientific examples that admit these symmetries. In addition, using this method, the potential symmetries of the conservative forms of the Boussinesq equation is determined.