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Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations. (English) Zbl 1192.35011
Summary: The Lie symmetry analysis is performed on the fifth-order KdV types of equations which arise in modeling many physical phenomena. The similarity reductions and exact solutions are obtained based on the optimal system method. Then, the exact analytic solutions are considered by using the power series method.
##### MSC:
 35B06 Symmetries, invariants, etc. (PDE) 35Q53 KdV-like (Korteweg-de Vries) equations 35C10 Series solutions of PDE
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