A new structure of solutions to the system of ISALWs via stochastic sense

This work presents some new soliton solutions to the equations of ion sound and Langmuir waves (ISALWs) in plasma via stochastic sense, using the robust solver. Specifically, we consider the system ISALWs damped by noises in Itô sense. The robust solver technique is applied to solve this model. We also investigate the change of frequencies of the proposed stochastic solutions by noise term in nonlinear process that may be introduce many nonlinear wave applications. Some graphical simulations were presented to illustrate the dynamical behavior of the presented solutions. These profile show also the effect of noise term in Itô sense. Based on the good performance of the unified solver, it is believed that this solver is an powerful technique to handle a wide variety of nonlinear partial differential equations (NPDEs). •Nonlinear analysis technique is used to solve the physical models in stochastic sense.•The equations of ion sound and Langmuir waves (ISALWs) are considered.•Highly performance and efficient of the proposed solver.•The dynamic behavior of the presented solutions is illustrated by 2D, 3D and contour graphs.•Matlab Release 18 is used to carry out symbolic computations.