Special Issue "Partial Differential and Functional Differential Equations: Exact Solutions, Reductions, Symmetries, and Applications"
Deadline for manuscript submissions: 31 March 2022.
2. Department of Applied Mathematics, Bauman Moscow State Technical University, 5 Second Baumanskaya Street, 105005 Moscow, Russia
Interests: exact solutions, reductions, and symmetries; nonlinear partial differential equations; delay partial differential equations; mathematical physics equations; functional differential equations; methods of generalized and functional separation of variables; methods of differential and functional constraints; heat and mass transfer; hydrodynamics
2. Keldysh Institute of Applied Mathematics RAS, Miusskaya Square, 125047 Moscow, Russia
Interests: exact solutions of nonlinear equations; group analysis; mathematical physics; asymptotic analysis; partial differential equations for scientists and engineers; hydrodynamics and gas dynamics
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
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
- nonlinear partial differential equations
- reaction-diffusion equations
- wave type equations
- higher-order nonlinear PDEs
- partial differential equations with delay
- partial functional differential equations
- exact solutions
- self-similar solutions
- invariant solutions
- generalized separable solutions
- functional separable solutions
- classical symmetries
- nonclassical symmetries
- symmetry reductions
- weak symmetries
- differential constraints