Lump type solutions: Backlund transformation and spectral properties
Analysis of PDEs
2023-12-05 v1
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 solutions is then carried out in details. The analysis of higher energy ones can be done in an inductive way.
Cite
@article{arxiv.2312.01063,
title = {Lump type solutions: Backlund transformation and spectral properties},
author = {Yong Liu and Jun-cheng Wei and Wen Yang},
journal= {arXiv preprint arXiv:2312.01063},
year = {2023}
}
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25 pages