Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation

In this paper, the exact solutions of generalized nonlinear Schrödinger (GNLS) equation are obtained by using Darboux transformation(DT). We derive some expressions of the 1-solitons, 2-solitons and n-soliton solutions of the GNLS equation via constructing special Lax pairs. And we choose different...

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Autores principales: Fan, Chengcheng, Li, Li, Yu, Fajun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10256863/
https://www.ncbi.nlm.nih.gov/pubmed/37296203
http://dx.doi.org/10.1038/s41598-023-36295-x
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author Fan, Chengcheng
Li, Li
Yu, Fajun
author_facet Fan, Chengcheng
Li, Li
Yu, Fajun
author_sort Fan, Chengcheng
collection PubMed
description In this paper, the exact solutions of generalized nonlinear Schrödinger (GNLS) equation are obtained by using Darboux transformation(DT). We derive some expressions of the 1-solitons, 2-solitons and n-soliton solutions of the GNLS equation via constructing special Lax pairs. And we choose different seed solutions and solve the GNLS equation to obtain the soliton solutions, breather solutions and rational wave solutions. Based on these obtained solutions, we consider the elastic interactions and dynamics between two solitons.
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spelling pubmed-102568632023-06-11 Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation Fan, Chengcheng Li, Li Yu, Fajun Sci Rep Article In this paper, the exact solutions of generalized nonlinear Schrödinger (GNLS) equation are obtained by using Darboux transformation(DT). We derive some expressions of the 1-solitons, 2-solitons and n-soliton solutions of the GNLS equation via constructing special Lax pairs. And we choose different seed solutions and solve the GNLS equation to obtain the soliton solutions, breather solutions and rational wave solutions. Based on these obtained solutions, we consider the elastic interactions and dynamics between two solitons. Nature Publishing Group UK 2023-06-09 /pmc/articles/PMC10256863/ /pubmed/37296203 http://dx.doi.org/10.1038/s41598-023-36295-x Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Fan, Chengcheng
Li, Li
Yu, Fajun
Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation
title Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation
title_full Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation
title_fullStr Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation
title_full_unstemmed Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation
title_short Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation
title_sort soliton solution, breather solution and rational wave solution for a generalized nonlinear schrödinger equation with darboux transformation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10256863/
https://www.ncbi.nlm.nih.gov/pubmed/37296203
http://dx.doi.org/10.1038/s41598-023-36295-x
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AT yufajun solitonsolutionbreathersolutionandrationalwavesolutionforageneralizednonlinearschrodingerequationwithdarbouxtransformation

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