Both mathematics and science exhibit a reciprocally advantageous and close relationship.
The undeniable significance of mathematics in diverse scientific fields, including electrical …

The hazard of global warming is principally caused by a rise in the atmospheric
concentration of carbon dioxide (CO 2). One of the main carbon dioxide sinks is forests. In …

In this study, the stochastic Chen–Lee–Liu equation is considered numerically and
analytically which is forced by the multiplicative noise in the Itô sense. The Chen–Lee–Liu …

In this manuscript, the well-known stochastic Burgers' equation in under investigation
numerically and analytically. The stochastic Burgers' equation plays an important role in the …

In this study, the acoustic nonlinear equation namely the confirmable time-fractional
Westervelt equation is under consideration analytically. This equation is applicable in the …

In this paper, we studied stochastic perturbed nonlinear Schrödinger equation in fibers with
Kerr law nonlinearity. The investigated model is important for the optical pulse propagation …

The current study presents the numerical solutions of the Wolbachia invasive model (WIM)
using the neural network Levenberg-Marquardt (NN-LM) backpropagation technique. The …

This article pays attention to the interaction of waves for the (2+ 1)-dimensional KdV
equation arising in the diversity of fields with the properties of conformable fractional …

In this manuscript, a mathematical model known as the Heimburg model is investigated
analytically to get the soliton solutions. Both biomembranes and nerves can be studied …

In this study, the Lie point symmetries and optimal system have been established. We
discuss the biofilm model's soliton solutions. To examine a nonlinear dynamical biofilm …