Dynamical behavior of the fractional coupled Konopelchenko-Dubrovsky and (3+1)-dimensional modified Korteweg-de Veries- Zakharov- Kuznestsov equations

Abstract

This work studies, soliton solutions of time fractional coupled Konopelchenko-Dubrovsky and (3+1)-dimensional modified Korteweg-de Varies-Zakharov-Kuznestsov (mKdVZK) equations. These model are used to define the physical phenomena of oceans dynamic, plasma physics, and soliton theory. The unified method is used to solve these fractional models analytically. Conformable and Local M derivatives are used to tackle the time fractional part. Fractional wave transformation is used to transforme fractional partial differential equation to ordinary differential equation. Using proposed scheme soliton solutions are obtained in polynomial and rational forms. The behaviour of soliton solution is also analyzed at different fractional parameter. The results shows that proposed scheme is straight forward and easy to handle all kinds of time fractional nonlinear homogenous evolution equations that arised in different fields of science.