On the characteristic Lie algebras for equations u xy = f ( u, u x ) |
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| Authors: | A. V. Zhiber and R. D. Murtazina |
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| Affiliation: | (1) Institute of Mathematics with Computer Center, Russian Academy of Sciences, Ufa, Russia;(2) Department of Mathematics, Ufa State Aviation Technical University, Ufa, Russia |
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| 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 sinh-Gordon equation. __________ Translated from Fundamentalnaya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 12, No. 7, pp. 65–78, 2006. |
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