Lie symmetry analysis and soliton solutions of time-fractional $K(m, n)$ equation

Pramana

M S HASHEMI2²  G W WANG¹ 

[1] chool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, People’s Republic of China$$;Department of Mathematics, Basic Science Faculty, University of Bonab, P.O. Box 55517-61167, Bonab, Iran$$

关键词: Lie symmetries;    time-fractional $K(m;    n)$ equation;    Erdélyi–Kober fractional derivative;    Riemann– Liouville derivatives;    soliton solutions.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this note, method of Lie symmetries is applied to investigate symmetry properties of timefractional $K(m, n)$ equation with the Riemann–Liouville derivatives. Reduction of time-fractional $K(m, n)$ equation is done by virtue of the Erdélyi–Kober fractional derivative which depends on a parameter α. Thensoliton solutions are extracted by means of a transformation.

【 授权许可】

Unknown