Group classification of variable coefficient generalized Kawahara equations

An exhaustive group classification of variable coefficient generalized Kawahara equations is carried out. As a result, we derive new variable coefficient nonlinear models admitting Lie symmetry extensions. All inequivalent Lie reductions of these equations to ordinary differential equations are perf...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 47; no. 4; pp. 45201 - 19
Main Authors Kuriksha, Oksana, Pošta, Severin, Vaneeva, Olena
Format Journal Article
LanguageEnglish
Published IOP Publishing 31.01.2014
Subjects
admissible transformations
Classification
Coefficients
Construction
Differential equations
equivalence group
generalized Kawahara equations
group classification
Lie symmetry
Mathematical analysis
Mathematical models
Nonlinearity
Reduction
Symmetry
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Summary:An exhaustive group classification of variable coefficient generalized Kawahara equations is carried out. As a result, we derive new variable coefficient nonlinear models admitting Lie symmetry extensions. All inequivalent Lie reductions of these equations to ordinary differential equations are performed. We also present some examples on the construction of exact and numerical solutions.
Bibliography:JPhysA-100096.R1
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ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/47/4/045201