Kadomtsev-Petviashvili equation: one-constraint method and lump pattern
Exactly Solvable and Integrable Systems
2022-02-09 v1
Abstract
The Kadomtsev-Petviashvili reduction method is a crucial method to derive the solitonic solutions of (1+1) dimensional integrable system from high dimensional system. In this work, we explore to use the solutions of lower dimensional system to construct the solutions in the high dimensional one with the Darboux transformation. Especially, we utilize this method to disclose the relationship between the rogue wave and lump solutions. Under one-constraint method, the asymptotic analysis to the lump pattern of Kadomtsev-Petviashvili equation is given
Keywords
Cite
@article{arxiv.2108.09715,
title = {Kadomtsev-Petviashvili equation: one-constraint method and lump pattern},
author = {Jie-Yang Dong and Liming Ling and Xiaoen Zhang},
journal= {arXiv preprint arXiv:2108.09715},
year = {2022}
}
Comments
23pages, 4 figures