Solitary Wave Solutions for the Higher Dimensional Jimo-Miwa Dynamical Equation via New Mathematical Techniques

In this study, under the considerations of symbolic computation with help Mathematica software, various types solitary wave solutions for (3 + 1)-dimensional Jimo–Miwa (JM) equation are successfully constructed based on extended modified rational expansion method. The novel and more general JM named kink solutions, anti-kink bright dark mixed in shape bright-dark periodic waves, which do not exist existing literature. physical phenomena demonstrated results is represented graphically by two-dimensional, three-dimensional, contour images Mathematica. obtained will be widely used to explain interesting structures areas optics, plasma, gas, acoustics, classical mechanics, fluid dynamics, heat transfer, many others.