Published December 2014 | Version v1
Journal article Metadata-only

Group analysis of variable coefficient generalized fifth-order KdV equations

Creators

  • 1. Petro Mohyla Black Sea State University, Mykolaiv (Ukraine)
  • 2. Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Prague (Czech Republic)
  • 3. Institute of Mathematics of NAS of Ukraine, Kyiv-4 (Ukraine)

Description

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.

Availability note (English)

Available from http://link.springer.com/openurl/pdf?id=doi:10.1134/S1547477114070280

Additional details

Identifiers

URL
http://link.springer.com/openurl/pdf?id=doi:10.1134/S1547477114070280;
DOI
10.1134/S1547477114070280;

Publishing Information

Journal Title
Physics of Particles and Nuclei Letters (Print)
Journal Volume
11
Journal Issue
7
Journal Page Range
p. 990-995
ISSN
1547-4771

INIS

Country of Publication
Russian Federation
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
52085720
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
EXACT SOLUTIONS; KORTEWEG-DE VRIES EQUATION; TIME DEPENDENCE
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS

Optional Information

Copyright
Copyright (c) 2014 Pleiades Publishing, Ltd.