Author： Balakhnev M.
Publisher： Springer Publishing Company
ISSN： 0040-5779
Source： Theoretical and Mathematical Physics, Vol.164, Iss.2, 2010-08, pp. : 1002-1007
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Abstract
In the symmetry approach framework, we solve the problem of classifying third-order integrable vector evolution equations that have zeroth-order conserved densities. We obtain the complete list of nine equations of this form. Two equations in the list were previously unknown. We find auto-Bäcklund transformations for the new equations.
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