On Darboux transformations for the derivative nonlinear Schrödinger equation

Autor:	Jonathan J C Nimmo, Halis Yilmaz
Rok vydání:	2021
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems 010102 general mathematics Mathematics::Analysis of PDEs Statistical and Nonlinear Physics Mathematics::Spectral Theory Term (logic) 01 natural sciences chemistry.chemical_compound symbols.namesake Nonlinear Sciences::Exactly Solvable and Integrable Systems chemistry Quasideterminant 0103 physical sciences symbols 010307 mathematical physics Soliton 0101 mathematics Nonlinear Sciences::Pattern Formation and Solitons Nonlinear Schrödinger equation Mathematical Physics Derivative (chemistry) Mathematical physics Mathematics
Zdroj:	Journal of Nonlinear Mathematical Physics. 21:278
ISSN:	1776-0852
Popis:	We consider Darboux transformations for the derivative nonlinear Schr\"odinger equation. A new theorem for Darboux transformations of operators with no derivative term are presented and proved. The solution is expressed in quasideterminant forms. Additionally, the parabolic and soliton solutions of the derivative nonlinear Schr\"odinger equation are given as explicit examples. Comment: 14 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::343952148286112a4ed4b0a5c1b85480 https://doi.org/10.1080/14029251.2014.905301 Zobrazit plný text záznamu Full text from SpringerLink