Group Analysis of Variable Coefficient Generalized Fifth-Order KdV Equations
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článek v časopisejournal article
Peer-reviewed
publishedVersion
Author
Kuriksha O.
Pošta S.
Vaneeva O.
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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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