Partial Differential and Functional Differential Equations: Exact Solutions, Reductions, Symmetries, and Applications

Dear Colleagues,

Partial differential equations, delay partial differential equations, and functional differential equations are indispensable in modeling various phenomena and processes in natural, engineering, and social sciences. Exact solutions represent rigorous standards (reference solutions) that help understand better the properties and qualitative features of differential equations. They allow one to test, thoroughly and accurately, various numerical and approximate analytical methods for solving these equations. Notably, exact solutions can provide a basis for examining and improving computer algebra packages for solving partial differential equations.

This Special Issue aims to collect original and significant contributions on exact solutions to various partial differential and functional differential equations. Equally welcome are relevant topics related to symmetry reductions, the development and refinement of methods for finding exact solutions, and new applications of exact solutions. The Special Issue can also serve as a platform for exchanging ideas between scientists interested in partial differential and functional differential equations.

Prof. Dr. Andrei Dmitrievich Polyanin
Prof. Dr. Alexander V. Aksenov
Guest Editors

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