In this work, some novel analytic traveling wave solutions including the cnoidal and solitary wave solutions of the planar Extended Kawahara equation are deduced. Four different analytical methods (the Jacobian elliptic function, Weierrtrass elliptic function, the traditional tanh method and the sech-square) are devoted for solving this equation. By means of the Jacobian elliptic function ansatz, the cnoidal and soliary wave solutions are obtained. Also, new cnoidal wave solutions are derived via a new hypothesis in the form of the Weierrtrass elliptic function. Moreover, the standard tanh method is utilized to get a new set of solitary wave solutions for the evolution equation. Over and above, the hyperbolic ansatz method (a new ansatz in the form of squre-sech) is employed to get a new set of solitary wave solutions for the evolution equation. Furthermore, all obtained solutions of the planar Extended Kawahara equation cover the traveling wave solutions of the planar modified Kawahara equation. These solutions maybe useful to many researchers interested in studying the propagation of nonlinear waves in nonlinear dispersion mediums like plasma physics, optical fibers, fluid mechanics, and many different branches of science.

在这项工作中，推导了一些新颖的解析行波解，包括平面扩展Kawahara方程的正弦波和孤立波解。四种不同的解析方法（雅可比椭圆函数，Weierrtrass椭圆函数，传统的tanh方法和sech平方）专门用于求解该方程。借助于雅可比椭圆函数ansatz，获得了正弦波和固溶波解。同样，通过新假设以Weierrtrass椭圆函数的形式推导了新的正弦波解。此外，利用标准的tanh方法获得了新的孤立波解方程组。不仅如此，还采用了双曲ansatz方法（一种以squre-sech形式表示的新ansatz）来获得新的演化方程孤波解集。此外，所有得到的平面扩展的Kawahara方程的解都覆盖了平面修改的Kawahara方程的行波解。这些解决方案对于许多有兴趣研究非线性波在诸如等离子体物理学，光纤，流体力学以及科学的许多不同分支之类的非线性弥散介质中传播的研究人员可能是有用的。