Abstract
We carry out group analysis of a class of generalized fifth-order Korteweg-de Vries equations with time dependent coefficients. Admissible transformations, Lie symmetries and similarity reductions of equations from the class are classified exhaustively. A criterion of reducibility of variable coefficient fifth-order KdV equations to their constant coefficient counterparts is derived. Some exact solutions are presented.
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Kuriksha, O., Pošta, S. & Vaneeva, O. Group analysis of variable coefficient generalized fifth-order KdV equations. Phys. Part. Nuclei Lett. 11, 990–995 (2014). https://doi.org/10.1134/S1547477114070280
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DOI: https://doi.org/10.1134/S1547477114070280