Geodesic
Quasilinear hyperbolic equations with an infinite-dimensional symmetry algebra
Izvestiya. Mathematics , Tome 45 (1995) no. 1, pp. 33-54

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The problem of enumerating equations $u_{xy}=a(u,u_x,u_y)$ with an infinite Lie–Backlund algebra containing functional parameters is considered. 
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     author = {A. V. Zhiber},
     title = {Quasilinear hyperbolic equations with an infinite-dimensional symmetry algebra},
     journal = {Izvestiya. Mathematics },
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A. V. Zhiber. Quasilinear hyperbolic equations with an infinite-dimensional symmetry algebra. Izvestiya. Mathematics , Tome 45 (1995) no. 1, pp. 33-54. http://geodesic.mathdoc.fr/item/IM2_1995_45_1_a1/