Open Access
2014 Group Classification of Variable Coefficient $K(m,n)$ Equations
Kyriakos Charalambous, Olena Vaneeva, Christodoulos Sophocleous
J. Geom. Symmetry Phys. 33: 79-90 (2014). DOI: 10.7546/jgsp-33-2014-79-90


Lie symmetries of $K(m,n)$ equations with time-dependent coefficients are classified. Group classification is presented up to widest possible equivalence groups, the usual equivalence group of the whole class for the general case and the conditional equivalence groups for special values of the exponents $m$ and $n$. Examples on reduction of $K(m,n)$ equations (with initial and boundary conditions) to nonlinear ordinary differential equations (with initial conditions) are presented.


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Kyriakos Charalambous. Olena Vaneeva. Christodoulos Sophocleous. "Group Classification of Variable Coefficient $K(m,n)$ Equations." J. Geom. Symmetry Phys. 33 79 - 90, 2014.


Published: 2014
First available in Project Euclid: 27 May 2017

zbMATH: 1305.35127
MathSciNet: MR3222639
Digital Object Identifier: 10.7546/jgsp-33-2014-79-90

Rights: Copyright © 2014 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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