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

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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… Click to show full 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: system; fractional order; coupled kdv; lie symmetry; conservation laws

Journal Title: Advances in Difference Equations
Year Published: 2020

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