Integral/Differential Equations and Symmetry
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 15 April 2026 | Viewed by 18
Special Issue Editors
Interests: integrable systems; mathematical physics; partial differential equations
Interests: partial differential equations; symmetry reduction; blowup; euler-poisson equations; euler equations with or without coriolis force; camassa-holm equations; navier-stokes equations; magnetohydrody-namics (MHD); analytical and exact solutions; mathematical methods in fluids; classical cosmology
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleague,
This Special Issue explores the significant and fruitful intersection of symmetry analysis with the theory of integral and differential equations. Symmetry, in its various forms—from Lie point symmetries and nonlocal symmetries to more abstract algebraic and geometric structures—provides a powerful and unifying framework for tackling nonlinear problems.
The collected works demonstrate how symmetry methods are not merely a tool for solving equations but are fundamental to understanding their intrinsic properties. Contributions highlight advancements in areas such as symmetry-based exact solutions, invariant discretization techniques, group classification, and the discovery of conservation laws. Furthermore, the issue showcases applications across diverse scientific fields, including mathematical physics, fluid dynamics, and biology, underscoring the universal utility of these approaches.
By bridging theoretical developments with practical applications, this issue aims to inspire further research and highlight symmetry as an indispensable principle in the modern analysis of complex dynamical systems.
Prof. Dr. Yaqing Liu
Dr. Manwai Yuen
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 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. 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.
Keywords
- lie symmetry analysis
- differential equations
- integral equations
- symmetry methods
- integrable systems
- nonlinear waves
- invariant solutions
- conservation laws
- nonlocal symmetries
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