Geodesic
On the characteristic Lie algebras for equations $u_{xy}=f(u,u_x)$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 7, pp. 65-78

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A new approach to classification of integrable nonlinear equations is proposed. The method is based on description of the structure of the characteristic algebra. A basis of the characteristic algebra is constructed for the $\mathrm{sinh}$-Gordon equation. 
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     author = {A. V. Zhiber and R. D. Murtazina},
     title = {On the characteristic {Lie} algebras for equations $u_{xy}=f(u,u_x)$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {65--78},
     publisher = {mathdoc},
     volume = {12},
     number = {7},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_7_a4/}
}
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A. V. Zhiber; R. D. Murtazina. On the characteristic Lie algebras for equations $u_{xy}=f(u,u_x)$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 7, pp. 65-78. http://geodesic.mathdoc.fr/item/FPM_2006_12_7_a4/