A. V. Zhiber, R. D. Murtazina, “On the characteristic Lie algebras for equations <nobr>$u_{xy}=f(u,u_x)$</nobr>”, Fundam. Prikl. Mat., 2006, Volume 12, Issue 7,Pages <nobr>65

This article is cited in 19 papers

On the characteristic Lie algebras for equations $u_{xy}=f(u,u_x)$

A. V. Zhiber^a, R. D. Murtazina^b

^a Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
^b Ufa State Aviation Technical University

Abstract: 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.

UDC: 517.957