Integrability and rational soliton solutions for gauge invariant derivative nonlinear Schr\"odinger equations
Exactly Solvable and Integrable Systems
2021-02-25 v1
Abstract
The present work addresses the study and characterization of the integrability of three famous nonlinear Schr\"odinger equations with derivative-type nonlinearities in 1+1 dimensions. Lax pairs for these three equations are successfully obtained by means of a Miura transformation and the singular manifold method. After implementing the associated binary Darboux transformations, we are able to construct rational soliton-like solutions for those systems.
Keywords
Cite
@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}
}
Comments
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