Lie symmetry analysis and conservation laws for the time fractional fourth-order evolution equation

Journal of Shanghai Normal University (Natural Sciences)

Tian Shoufu¹  Wang Li¹  Song Xiaoqiu¹  Feng Lianli¹ 

[1] School of Mathematics, China University of Mining and Technology;

关键词: Lie symmetry method;    symmetry analysis;    conservation laws;   

DOI  :  10.3969/J.ISSN.100-5137.2017.03.004

来源: DOAJ

【 摘 要 】

In this paper, we study Lie symmetry analysis and conservation laws for the time fractional nonlinear fourth-order evolution equation. Using the method of Lie point symmetry, we provide the associated vector fields, and derive the similarity reductions of the equation, respectively. The method can be applied wisely and efficiently to get the reduced fractional ordinary differential equations based on the similarity reductions. Finally, by using the nonlinear self-adjointness method and Riemann-Liouville time-fractional derivative operator as well as Euler-Lagrange operator, the conservation laws of the equation are obtained.

【 授权许可】

Unknown