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arXiv · 2312.01063

Lump type solutions: Backlund transformation and spectral properties

Yong Liu·Jun-cheng Wei·Wen Yang
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Abstract

There are various different ways to obtain traveling waves of lump type for the KP equation. We propose a general and simple approach to derive them via a Backlund transformation. This enables us to establish an explicit connection between those low energy solutions and high energy ones. Based on this construction, spectral analysis of the degree $6$ solutions is then carried out in details. The analysis of higher energy ones can be done in an inductive way.

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Yong Liu, Jun-cheng Wei, Wen Yang. 2023-12-02. Lump type solutions: Backlund transformation and spectral properties. https://arxiv.org/abs/2312.01063

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