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

Abstract

Abstract 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.

Keywords

• Reduced fractional system
• Coupled KdV system
• Riemann–Liouville derivative
• Lie symmetry method
• Conservation laws