Abstract
We consider the system of stochastic equations of the ion sound and Langmuir waves with multiplicative noise in the Itô sense. To get new exact stochastic solutions, we apply three distinct methods such as: He’s semi-inverse method, the Riccati–Bernoulli sub-ODE method and the sine–cosine method. Such solutions are crucial to understanding some exciting complicated physical phenomena. Also, we improve and generalize some previously obtained results. Moreover, we study the influence of multiplicative noise on the obtained solutions of the system of stochastic equations for the ion sound and Langmuir waves.
•We consider the system of stochastic equations of the ion sound and Langmuir waves with multiplicative noise.•We apply three distinct methods such as He’s semi-inverse, the Riccati–Bernoulli sub-ODE and the sine–cosine methods.•We generalize and improve some previous results.•We discuss the impact of noise on the stability of the solutions.