Symmetries in Evolution Equations and Applications

Dear colleagues,

Equations focusing on time-dependent systems play a relevant role in understanding and modelling various physical phenomena. In particular, we mention problems of heat transport and laser propagation in inhomogeneous media. The potential topics range from abstract theories to concrete applications. We aim to deeply discuss the qualitative behavior of the equations. The existence and absence of local and global solutions, the asymptotic analysis of solutions, and the occurrence of blow ups are some of the crucial questions to deal with. Symmetry methods of evolution equations play a crucial role in this investigation: conditions constraining the equation on its Lie and (contact-)point symmetries help in the classification of evolution equations possessing nonlocal symmetries; potential symmetries establishing the equivalence between two different evolution equations originate methods for obtaining new from already known solutions; and algebraic structures of symmetries are useful in studying physical systems and developing admissible transformations among them.

This Special Issue aims to collect original and significant contributions dealing with both the theory and applications of evolution equations and their systems. This Special Issue also seeks to serve as a platform for the exchange of ideas between scientists of different disciplines interested in evolution equations and their applications.

Dr. Calogero Vetro
Prof. Dr. Dariusz Wardowski
Prof. Dr. Bessem Samet
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.