Lie Symmetry Reductions and Exact Solutions of a Multidimensional Double Dispersion Equation

• 作者: Fuzhi Li Jiali Yu Lianbing She
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Lie Group MULTIDIMENSIONAL DOUBLE Dispersion Equation Similarity SOLUTIONS TRAVELLING Wave SOLUTIONS
• 年，卷（期）: 2017,（5）
• 页码范围: 712-723
• 页数: 12页
• 分类号: O1

摘要

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.