Group analysis of variable coefficient generalized fifth-order KdV equations

被引：2

作者：

Kuriksha O. ^{[1
]}

Pošta S. ^{[2
]}

Vaneeva O. ^{[3
]}

机构：

[1] Petro Mohyla Black Sea State University, 10, 68 Desantnykiv Street, Mykolaiv

[2] Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, 13 Trojanova Str., Prague

[3] Institute of Mathematics of NAS of Ukraine, 3 Tereshchenkivska Str., Kyiv-4

来源：

Physics of Particles and Nuclei Letters | 2014年 / 11卷 / 7期

关键词：

Nucleus Letter; Time Dependent Coefficient; Admissible Transformation; Nonlinear Transmission Line; fKdV Equation;

D O I：

10.1134/S1547477114070280

中图分类号：

学科分类号：

摘要：

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. © 2014, Pleiades Publishing, Ltd.

引用

页码：990 / 995

页数：5

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