FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 7, PAGES 65-78

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

A. V. Zhiber

R. D. Murtazina

Abstract

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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
sinh-Gordon equation.

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Last modified: February 13, 2007