The purpose of this paper is to establish a novel algorithm to find the fractal solitary wave solution for fractal nonlinear Pochhammer–Chree model based on fractal variational theory, which is called variational transform method (VTM). The numerical examples are given to reveal the effectiveness and simplicity of the proposed method. Finally, some physical properties of the obtained fractal traveling wave solutions are illustrated by some graphs. The novel method sheds a new light on the fractal soliton theory.

中文翻译：

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一种新的分形非线性 Pochhammer-CHREE 模型计算方法

本文的目的是建立一种基于分形变分理论的分形非线性Pochhammer-Chree模型求分形孤波解的新算法，称为变分变换法（VTM）。给出的数值例子表明了该方法的有效性和简单性。最后，通过一些图表说明了所获得的分形行波解的一些物理性质。这种新颖的方法为分形孤子理论提供了新的思路。