Geometrization of PDEs and Their Solution by Means of Symmetries

Dear Colleagues,

In recent years, a large number of studies have related PDEs with geometric objects, mainly with a metric tensor. For each PDE, a metric tensor can be defined, i.e., Riemannian or non-Riemannian space, which acts as the “phase space” of the PDE. The Lie symmetries defined by the geometric elements defining the geometry of that space are related with the first integrals and the invariants of the PDE. The last elements can be used to facilitate the solution of the PDE and, if there are enough of them, even to solve the PDE. This Special Issue offers an opportunity to collect a large amount of work and the obtained results on this topic existing so far in the literature and, at the same time, present new avenues and ideas for future steps in this topic.

Prof. Dr. Michael Tsamparlis
Dr. Andronikos Paliathanasis
Guest Editors

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. Symmetry is an international peer-reviewed open access monthly 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 2400 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.