In this work, we apply the (1/G')-expansion method to produce the novel soliton solution of the Gilson-Pickering equation. This method is fundamental on homogeneous balance procedure that gives the order of the estimating polynomial-type solution. Also it is based on the appreciate wave transform to reduce the governing equation. The solutions that we obtain are include of hyperbolic, complex and rational functions solutions. Finally, the results are graphically discussed.

中文翻译：

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吉尔森-皮克林方程的波解

在这项工作中，我们应用 (1/G')-展开方法来产生 Gilson-Pickering 方程的新孤子解。该方法是给出估计多项式型解的阶次的齐次平衡过程的基础。它也是基于升值波变换来减少控制方程。我们得到的解包括双曲、复数和有理函数解。最后，以图形方式讨论结果。