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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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/

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