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

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 $$\phi ^6$$-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.