On invariant analysis and conservation laws of the time fractional variant Boussinesq and coupled Boussinesq-Burger’s equations
Department of Mathematics, Basic Science Faculty, University of Bonab, P.O. Box 55517-61167, Bonab, Iran
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Accepted: 22 August 2018
Published online: 19 October 2018
In this paper, two time fractional coupled systems of differential equations have been investigated by using the Lie symmetry analysis. Vector field generators of these variants of Boussinesq equations are extracted and corresponding reductions to the systems of fractional ordinary differential equations (FODEs) with Erdélyi-Kober fractional derivatives are obtained. Conservation laws of these fractional systems are extracted. Finally, the invariant subspace method is applied to find the corresponding exact solutions.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018