KURIKSHA, O., S. POŠTA, and O. VANEEVA. Group Analysis of Variable Coefficient Generalized Fifth-Order KdV Equations. Physics of Particles and Nuclei Letters. 2014, 11(7), 990-995. ISSN 1547-4771. DOI 10.1134/S1547477114070280.
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.
eng
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application/pdf
dc.language.iso
eng
dc.publisher
Springer-Verlag, GmbH
dc.relation.ispartof
Physics of Particles and Nuclei Letters
dc.subject
KdV equations
eng
dc.subject
group analysis
eng
dc.subject
time-dependent coefficients
eng
dc.subject
admissible transformations
eng
dc.subject
differential equation
eng
dc.subject
exact solution
eng
dc.title
Group Analysis of Variable Coefficient Generalized Fifth-Order KdV Equations