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.