Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method

Abstract EN

A new generalized fractional subequation method based on the relationship of fractional coupled equations is proposed.

This method is applied to the space-time fractional coupled Konopelchenko-Dubrovsky equations and Nizhnik-Novikov-Veselov equations.

As a result, many exact solutions are obtained including hyperbolic function solutions, trigonometric function solutions, and rational solutions.

It is observed that the proposed approach provides a simple and reliable tool for solving many other fractional coupled differential equations.