KURISHKA, O., S. POŠTA, and O. VANEEVA. Group classification of variable coefficient generalized Kawahara equations. Journal of Physics A: Mathematical and Theoretical. 2014, 47(4), ISSN 1751-8113. DOI 10.1088/1751-8113/47/4/045201.
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.
eng
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application/pdf
dc.language.iso
eng
dc.publisher
Institute of Physics Publishing
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Journal of Physics A: Mathematical and Theoretical