By using the method of the gauge transformation, this paper obtains the gauge transformation of Eigenvalue problems of energy dependent potentials and the Backlund transformation.
用规范变换的方法，导出了位势依赖于能量的特征值问题的规范变换及相应的贝克隆变换。
The research of this dissertation includes Painleve property of systems, Backlund transformation, traveling waves classification, the stability of solitary waves and related properties.
本文研究内容主要包括：系统的Painleve性质、显式孤立波构造、Backlund变换、行波分类和孤立波的稳定性以及海啸模型研究等。
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