Author(s)

Jiali Yu¹, Fuzhi Li², Lianbing She³

¹School of Mathematics and Information Science, Guangzhou University, Guangzhou, China.
²School of Mathematics and Statistics, Southwest University, Chongqing, China.
³Department of Mathematics, Southwest University, Chongqing, China.

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.

Lie Group, Multidimensional Double Dispersion Equation, Similarity Solutions, Travelling Wave Solutions

Yu, J. , Li, F. and She, L. (2017) Lie Symmetry Reductions and Exact Solutions of a Multidimensional Double Dispersion Equation. Applied Mathematics, 8, 712-723. doi: 10.4236/am.2017.85056.