Abstract In this article, the system for the long–short-wave interaction (LS) system is considered. In order to construct some new traveling wave solutions, He’s semi-inverse method is implemented. These solutions may be applicable for some physical environments, such as physics and fluid mechanics. These new solutions show that the proposed method is easy to apply and the proposed technique is a very powerful tool to solve many other nonlinear partial differential equations in applied science.

中文翻译：

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长短波相互作用系统的基本解决方案

摘要 在本文中，考虑了长短波相互作用（LS）系统。为了构造一些新的行波解，实施了 He 的半逆方法。这些解决方案可能适用于某些物理环境，例如物理和流体力学。这些新的解决方案表明，所提出的方法易于应用，并且所提出的技术是解决应用科学中许多其他非线性偏微分方程的非常强大的工具。