Studying of nonlinear differential equations especially in higher and fractional dimensions, plays an important role in modeling most of the scientific and engineering applications, such as propagation of shallow water waves, optical fibers, condensed matter, electromagnetic, plasma, ecology and fluid mechanics. Investigation of the analytical solutions for these equations is essential for the proper understanding of features of many phenomena. The present special issue of mathematics focuses on highlighting recent trends and developments in the analytical investigation of nonlinear applications governed by nonlinear differential equations.

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