https://doi.org/10.1140/epjp/s13360-024-04934-5
Regular Article
Effective analytical solutions versus numerical treatments of Chavy-Waddy-Kolokolnikov bacterial aggregates model in phototaxic
1
Departments of Basic Science, Faculty of Engineering, Benha University, Shubra, Egypt
2
Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey
Received:
13
December
2023
Accepted:
24
January
2024
Published online:
6
February
2024
One of the important problems arising in biology science is the bacteria motion that surrenders to some operators as light, heat…,etc. The Chavy-Waddy-Kolokolnikov equation (CWKE) is considered one of the famous models in biology branch that is very valuable in the modeling bacteria collective formation attracted to the light. Hereby, we will study this effective model to construct the soliton behaviors of this model. Hereby, we will choose two of the impressive semi-analytical methods, namely, the extended simple equation method (ESEM) and the (G’/G)-expansion method to extract the analytical solutions of this model and derive the soliton behaviors through the 2-kind and 3-kind graphs of these obtained solutions. The two suggested methods are two famous of the ansatz methods that surrender to the homogenous balance rule, used to construct the exact solution for nonlinear partial differential equation and examined before for many other nonlinear evolution equations and usually realize good results. In addition, we will derive the numerical solutions identical for achieved analytical solutions by using the differential transform method (DTM) which is one of the most, efficient numerical methods. To show the newly of our results, we will make comparison for the obtained soliton solutions behaviors with that previously realized by other authors.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
