In this paper, we present an extended tanh method that utilizes symbolic computations to obtain more exact wave solutions for the system of ion sound and Langmuir waves. The obtained solutions include solitons, kinks and plane periodic solutions. The main properties of the method will be explained and then applied to particular and well-chosen examples in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations.

the system of ion sound and Langmuir waves, extended tanh method, hyperbolic solutions.

Received: October 1, 2021; Accepted: November 15, 2021; Published: January 4, 2022

How to cite this article: Ammar Al-Salih, New exact solution for the system of ion sound and Langmuir waves, Far East Journal of Applied Mathematics 111(2) (2021), 49-57. DOI: 10.17654/0972096021001

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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