Time-fractional Drinfeld-Sokolov-Wilson system: Lie symmetry analysis, analytical solutions and conservation laws
School of Mathematics, China University of Mining and Technology, 221116, Xuzhou, Jiangsu, China
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Accepted: 1 January 2019
Published online: 27 March 2019
In this paper, under the background of the Riemann-Liouville fractional differential, the Lie point symmetries are obtained by using the Lie symmetry method. The symmetry reductions are also derived ulteriorly. Next, the power series solution and its convergence proof are given. Finally, conservation laws are well constructed based on the Noether theorem. Especially, the approximate analytical solution is studied by employing the q-homotopy analysis method under the background of Caputo fractional differential. What is more, the dynamic behaviour of all these exact solutions of the equation are described with changing the value of .
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019