Lie symmetry analysis, Bäcklund transformation and exact solutions for a class of fourth-order partial differential equations

  • DAI Hui-ju ,
  • LI Lian-zhong ,
  • WANG Qi ,
  • SHA An
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  • School of Science, Jiangnan University, Wuxi Jiangsu 214122, China

Received date: 2017-09-20

  Online published: 2019-01-24

Abstract

This paper investigates a class of variable coefficient partial differential equations. By using the homogeneous balance method, the Bäcklund transformation is obtained, which leads to exact solutions for the equation. By applying Lie symmetry analysis, the symmetries and vector field of the equation are obtained. Then, by means of a similarity transformation, the partial differential equations are reduced to ordinary differential equations. Solving the reduced equations, we investigate the exact solutions to the equations concisely using the power series expansion method.

Cite this article

DAI Hui-ju , LI Lian-zhong , WANG Qi , SHA An . Lie symmetry analysis, Bäcklund transformation and exact solutions for a class of fourth-order partial differential equations[J]. Journal of East China Normal University(Natural Science), 2019 , 2019(1) : 24 -31 . DOI: 10.3969/j.issn.1000-5641.2019.01.003

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