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.
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Translated from Fundamentalnaya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 12, No. 7, pp. 65–78, 2006.
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Zhiber, A.V., Murtazina, R.D. On the characteristic Lie algebras for equations u xy = f(u, u x ). J Math Sci 151, 3112–3122 (2008). https://doi.org/10.1007/s10958-008-9028-0
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DOI: https://doi.org/10.1007/s10958-008-9028-0