Resorting to a reciprocal transformation, the generalized Harry-Dym type equation is related to the KdV equation. With the help of this reciprocal transformation and Darboux transformation for the KdV equation, we obtain some new parametric multi-soliton solutions of the generalized Harry-Dym type equation, including smooth and loop solitons.

中文翻译：

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广义Harry-Dym型方程的参数多孤子解

借助于倒数变换，广义的Harry-Dym型方程与KdV方程相关。借助于此对KdV方程的倒数变换和Darboux变换，我们获得了广义Harry-Dym型方程的一些新的参数多孤子解，包括光滑和回路孤子。