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NUMERICAL STUDY OF THE GENERALIZED CHAVY–WADDY–KOLOKOLNIKOV MODEL

https://doi.org/10.26583/vestnik.2023.288

Abstract

The generalized Chavy–Waddy–Kolokolnikov equation is considered, which describes nonlinear physical and biological processes, in particular, the movement of bacteria under the influence of stimuli. Numerical study of the model is carried out using the pseudospectral method. To test the program, exact solutions of the generalized Chavy–Waddy–Kolokolnikov equation are used. For numerical modeling, initial conditions are used in the form of periodic and solitary waves, as well as in the form of white noise. Graphs of the results of numerical simulation are presented. It is shown that at different values of the model parameters, periodic structures are formed.

About the Authors

A. A. Kutukov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation


N. A. Kudryashov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation


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Review

For citations:


Kutukov A.A., Kudryashov N.A. NUMERICAL STUDY OF THE GENERALIZED CHAVY–WADDY–KOLOKOLNIKOV MODEL. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2023;12(6):326-331. (In Russ.) https://doi.org/10.26583/vestnik.2023.288

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