JAMP  Vol.6 No.12 , December 2018
Lie Symmetry Analysis, Optimal Systems and Explicit Solutions of the Dispersive Long Wave Equations
Abstract: In this paper, the dispersive long wave equation is studied by Lie symmetry group theory. Firstly, the Lie symmetries of this system are calculated. Secondly, one dimensional optimal systems of Lie algebra and all the symmetry reductions are obtained. Finally, based on the power series method and the extended Tanh function method, some new explicit solutions of this system are constructed.
Cite this paper: Xue, X. and Bai, Y. (2018) Lie Symmetry Analysis, Optimal Systems and Explicit Solutions of the Dispersive Long Wave Equations. Journal of Applied Mathematics and Physics, 6, 2681-2696. doi: 10.4236/jamp.2018.612222.

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