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Lukashchuk, S.Y. and Saburova, R.D. (2018) Approximate Symmetry Group Classification for A Nonlinear Fractional Filtration Equation of Diffusion-Wave Type. Nonlinear Dynamics, 93, 295-305.
https://doi.org/10.1007/s11071-018-4192-3

has been cited by the following article:

• TITLE: Lie Symmetry Analysis, Optimal Systems and Explicit Solutions of the Dispersive Long Wave Equations

  AUTHORS: Xiaomei Xue, Yushan Bai

  KEYWORDS: Dispersive Long Wave Equations, Lie Symmetry Analysis, Optimal Systems, Power Series Method, Extended Tanh Function Method, Explicit Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.12, December 29, 2018

  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.