Investigation of closed form solitons for the stochastic Chavy-Waddy-Kolokolnikov equation in bacterial aggregation

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Authors: Sumaira Nawaz, Muhammad Ozair Ahmad, Nauman Ahmed, Teeda Njie, Muhammad Zafarullah Baber
Cited by: 0
References: 26

Abstract

In this study, we will investigates the stochastic Chavy-Waddy-Kolokolnikov equation in the Stratonovich sense analytically. This model is applicable which is highly useful for simulating the collective development of bacteria attracted to light under the noise environment. New closed form solitary wave structures are achieved in different shapes like elliptic, hyperbolic, trigonometric, and rational stochastic solutions are obtained by applying the [Formula: see text]-model expansion approach. This approach is gives us the jaccobi elliptic function solutions. These jaccobi elliptic function are provided us the solitons and solitary wave solutions under the effects of noise. The dynamic performances of the various derived solutions are presented using 3-D and 2-D graphs to help explain the effects of multiplicative noise. We deduce that multiplicative noise affects and modifies the behavior of solutions for stochastic Chavy-Waddy-Kolokolnikov equation.

Fields of Study & Subjects

Nonlinear Waves and Solitons stochastic dynamics and bifurcation Mathematical and Theoretical Epidemiology and Ecology Models

Publication details

Journal / source
Scientific Reports
Volume
16
Issue
1
Pages
3290–3290
Publication date
15 January 2026
Language
EN