Partial Differential Equations in Applied Mathematics

Dear Colleagues,

Partial differential equations are employed in mathematical formulations to help solve various physical and other issues, such as electrostatic propagation, elasticity, fluid flow, electrodynamics, heat, and sound.

This Special Issue titled “Partial Differential Equations in Applied Mathematics” therefore facilitates the quick dissemination of original research in applied mathematics and the sciences through the use of partial differential equations and associated methods. Both analytical and numerical techniques are welcome for contributions. Every manuscript must be written in a way that is understandable to a wide range of scientists who are interested in applied partial differential equations and their use in physical and engineering fields. The topics discussed range from the Lie group method, inverse scattering transforms, Darboux and Bäcklund transformations, the Hirota bilinear method, and initial and boundary value problems to various other techniques such as the unified transform (Fokas method), Riemann–Hilbert problems, long-time asymptotes, Hamiltonian theory, and applied fluid mechanic problems.

We also equally welcome papers that focus on the mathematical modeling and analysis of travelling waves, solitons, lumps, optical solitons and non-smooth solitons, rogue waves, and breathers.

Dr. Oke Davies Davies Adeyemo
Guest Editor

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 submissions that pass pre-check are 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 250 words) can be sent to the Editorial Office for assessment.

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 2600 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.