Year:    2022

CAM-Net Digest, Vol. 19 (2022), Iss. 24 : p. 10

Abstract

New Trends on the Mathematical Models and Solitons Arising in Real-World Problems
https://www.mdpi.com/journal/symmetry/special_issues/New_trends_mathematical_models_solitons_world_problems

The essence of mathematical tools for exemplifying the practical problems that exist in daily life is as old as the world itself. Mathematical models in science and technology have recently attracted an increased amount of researcher attentions with the aim to understand, describe, and predict the future behavior of natural phenomena. Recent studies on fractional calculus have been particularly popular among researchers due to their favorable properties when analyzing real-world models associated with properties such as anomalous diffusion, non-Markovian processes, random walk, long range, and most importantly heterogeneous behaviors. The concept of local differential operators along with power-law settings and non-local differential operators was suggested in order to accurately replicate the above-cited natural processes. The complexities of nature have led mathematicians and physicists to derive the most sophisticated and scientific mathematical operators to accurately replicate and capture pragmatic realities.

Mathematical physics plays a vital role in the study of the determinants and distribution of solitons. With the help of this, we can identify wave distributions in many fields of nonlinear sciences, and many experts have recently focused their work on this field. Further, these types of studies may help us to provide the foundation for developing public policy and make regulatory decisions relating to engineering problems, as well as to evaluate both existing and new perspectives. Major areas of mathematical physics studies with mathematical models include physics, symmetry, transmission, outbreak investigation, and epidemiological problems.

If you are interested, please contact the Symmetry Editorial Office (amelia.sun@mdpi.com), or the leading Guest Editor, Prof. Dr. Haci Mehmet Baskonus (hmbaskonus@gmail.com).