id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6128	Usman, M.; Hussain, Akhtar; Farooq, M. Umar; Herrera, Jorge	Group Analysis of a Class of Nonlinear Wave Equations	2025	29	.pdf	application/pdf	8915	495	81	The solution of the characteristic equation for Y1 + Y2 provides the symmetry invariants p = t, q = y − x, w(x, y, t) [25] Q(wtt − (f(w)wx)x − (g(w)wy)y) = DtΓ t +DxΓ x +DyΓ y, (120) and are formulated as follows Γ1 =  Γ1 t = xy(twt − w), Γ1 x = t 2(x 2g(w)wy − 2xyf(w)wx + 2y ∫ fdw), Γ1 y = −xt 2 g(w)(xwx + 2ywy).	cache/ejpam-6128.pdf	txt/ejpam-6128.txt