https://doi.org/10.1140/epjc/s10052-024-12659-z
Regular Article - Theoretical Physics
Multiple mixed solutions of the nonlocal sine-Gordon equation
1
Department of Mathematics, Shanghai Institute of Technology, 201418, Shanghai, China
2
College of Mathematics and Systems Science, Shandong University of Science and Technology, 266590, Qingdao, China
Received:
13
December
2023
Accepted:
10
March
2024
Published online:
16
April
2024
In this paper, we propose the nonlocal sine-Gordon equation from the AKNS system by the Parity and the Time symmetries. Moreover, the main work is to construct the Darboux transformation for the nonlocal sine-Gordon equation. In particular, various types of solutions are obtained by taking a seed solution, such as, soliton solutions, kink solutions, mixed solutions.
The original online version of this article was revised: the author’s name Junsheng Duan was incorrectly written as Junshen Duan.
An erratum to this article is available online at https://doi.org/10.1140/epjc/s10052-024-12823-5.
© The Author(s) 2024
Open Access This 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/.
Funded by SCOAP3.
