规范不变导数非线性薛定谔方程的可积性与有理孤子解
可精确求解与可积系统
2021-02-25 v1
摘要
本工作研究并刻画了 1+1 维中三个著名的含导数型非线性的非线性薛定谔方程的可积性。通过 Miura 变换和奇异流形方法，成功获得了这三个方程的 Lax 对。在实现相关的二元 Darboux 变换后，我们能够为这些系统构造类有理孤子解。
引用
@article{arxiv.2102.12183,
title = {Integrability and rational soliton solutions for gauge invariant derivative nonlinear Schr\"odinger equations},
author = {Paz Albares},
journal= {arXiv preprint arXiv:2102.12183},
year = {2021}
}
备注
5 pages, 2 figures. Based on the contribution presented at the "Third BYMAT Conference: Bringing Young Mathematicians Together", December 1--3, 2020, Valencia, Spain. To appear in the Proceedings of the Third BYMAT Conference