Traveling Wave Solutions for Complex Space-Time Fractional Kundu-Eckhaus Equation

In this work, the class of nonlinear complex fractional Kundu-Eckhaus equation is presented with a novel truncated M-fractional derivative. This model significant and notable in quantum mechanics good-natured physical characteristics. The motivation for paper to construct new solitary kink wave solutions governing using ansatz method. A complex-fractional transformation applied convert into an ordinary differential equations system. equilibria corresponding dynamical system will be show existence traveling model. are realized by means proposed order gain insight underlying dynamics obtained solutions, some graphical representations drawn. For more illustration, several numerical applications given analyzed graphically demonstrate ability reliability method dealing various engineering problems.