Lie symmetry reductions and conservation laws for fractional order coupled KdV system

Advances in Difference Equations

article

Jafari, Hossein¹  Sun, Hong Guang²  Azadi, Marzieh³ 

[1] Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University;State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, International Center for Simulation Software in Engineering and Sciences, College of Mechanics and Materials, Hohai University;Department of Mathematics, University of Mazandaran;Department of Mathematical Sciences, University of South Africa

关键词: Reduced fractional system;    Coupled KdV system;    Riemann–Liouville derivative;    Lie symmetry method;    Conservation laws;   

DOI  :  10.1186/s13662-020-03149-z

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

Lie symmetry analysis is achieved on a new system of coupled KdV equations with fractional order, which arise in the analysis of several problems in theoretical physics and numerous scientific phenomena. We determine the reduced fractional ODE system corresponding to the governing factional PDE system. In addition, we develop the conservation laws for the system of fractional order coupled KdV equations.

【 授权许可】

CC BY