Group Analysis of Generalized Fifth-Order Korteweg–de Vries Equations with Time-Dependent Coefficients
We perform enhanced Lie symmetry analysis of generalized fifth-order Korteweg–de Vries equations with time-dependent coefficients. The corresponding similarity reductions are classified and some exact solutions are constructed.
KeywordsGroup Classification Vries Equation Equivalence Transformation Determine Equation Point Transformation
The authors would like to thank the Organizing Committee of LT-10 and especially Prof. Vladimir Dobrev for the hospitality. O.K. and O.V. acknowledge the provided support for their participation in the Workshop. The authors are also grateful to Vyacheslav Boyko and Roman Popovych for useful discussions.