This paper studies complex solutions and solitons solutions to the Klein-Gordon-Zakharov equations (KGZEs). Solitons solutions including bright, dark, W-shape bright, breather also trigonometric function solutions and singular solutions of KGZEs are obtained by three integration algorithm. From the spatio-temporal and 3-D and 2-D contour plot, it is observed that obtained solutions move without any deformation that implies the steady state of solutions. Furthermore, these solutions will be helpful to explain the interactions in hight frequency plasma and solitary wave theory.

中文翻译：

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Klein-Gordon-Zakharov方程的复杂行波和孤子解

本文研究Klein-Gordon-Zakharov方程（KGZEs）的复杂解和孤子解。通过三种积分算法，得到了包括亮，暗，W形亮，通气以及三角函数解和KGZE奇异解在内的孤子解。从时空，3D和2D等高线图可以看出，获得的解在没有任何变形的情况下移动，这暗示了解的稳态。此外，这些解决方案将有助于解释高频等离子体和孤立波理论中的相互作用。