Symmetry analysis of some nonlinear generalised systems of space–time fractional partial differential equations with time-dependent variable coefficients

Pramana: Journal of physics

SACHIN KUMAR^1¹ 

[1] Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151 001, India^1

关键词: Fractional differential equations with time-dependent variable coefficients;    Lie symmetry analysis;    Erdèlyi–Kober operators;    Riemann–Liouville fractional derivative;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, the Lie group analysis method is applied to carry out the Lie point symmetries of some space–time fractional systems including coupled Burgers equations, Ito’s system, coupled Korteweg–de-Vries(KdV) equations, Hirota–Satsuma coupled KdV equations and coupled nonlinear Hirota equations with time-dependent variable coefficients with the Riemann–Liouville derivative. Symmetry reductions are constructed using Lie symmetries of the systems. To the best of our knowledge, nobody has so far derived the invariants of space–time nonlinear fractional partial differential equations with time-dependent coefficients.

【 授权许可】

CC BY