TITLE:
Lie Symmetry Reductions and Exact Solutions of a Multidimensional Double Dispersion Equation
AUTHORS:
Jiali Yu, Fuzhi Li, Lianbing She
KEYWORDS:
Lie Group, Multidimensional Double Dispersion Equation, Similarity Solutions, Travelling Wave Solutions
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.5,
May
25,
2017
ABSTRACT: In this paper, based on classical Lie group method, we study a multidimensional double dispersion equation, and get its infinitesimal generator, symmetry group and similarity reductions. In particular, similarity solutions and travelling wave solutions of the multidimensional double dispersion equation are derived from the reduction equations.