We study on constructing new traveling wave solution of a system known as ion sound and Langmuir waves by using method of extended Jacobian elliptic function expansion and He’s semi-inverse technique. Some new solutions will be beneficial for researchers concerning with nonlinear physical phenomena. The proposed methods may serve as the framework for solutions of various equations in applied science. Graphical simulations are provided to illustrate the behavior of these solutions.

中文翻译：

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离子声和朗缪尔波系统的孤子解决方案

我们研究了利用扩展雅可比椭圆函数展开方法和 He 的半逆技术构造离子声和朗缪尔波系统的新行波解。一些新的解决方案将有利于研究非线性物理现象的研究人员。所提出的方法可以作为应用科学中各种方程解的框架。提供了图形模拟来说明这些解决方案的行为。