Conservation laws and series solutions of variable coefficient time fractional Kawahara equation

Abstract

This paper investigates explicit power series solutions and conservation laws of variable coefficient time fractional Kawahara equation with Riemann–Liouville derivative which describs oscillatory solitary wave propagation in dispersive media. The similarity reductions and explicit solutions are derived by using Lie symmetry method. Further, using Ibragimov's theorem conservation laws for this equation are discussed.

Keywords:

• Variable coefficient time fractional Kawahara equation
• symmetry analysis
• Riemann-Liouville partial fractional derivative
• Erd$\acute{e}$lyi-Kober fractional operators
• power series method
• conservation laws

Disclosure statement

No potential conflict of interest was reported by the author(s).