Regular Kadomtsev-Petviashvili (KP) solitons have been investigated and classified successfully by the Grassmannian. We provide rigorous analysis for the direct scattering problem of perturbed $\textrm{Gr}(1, 2)_{\ge 0}$ KP solitons.

中文翻译：

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扰动 Gr(1, 2) ⩾0 Kadomtsev–Petviash-vili II 孤子的直接散射问题

Grassmannian 已经成功地研究和分类了规则 Kadomtsev-Petviashvili (KP) 孤子。我们对扰动的 $\textrm{Gr}(1, 2)_{\ge 0}$ KP 孤子的直接散射问题进行了严格的分析。