https://doi.org/10.1140/epjp/s13360-023-04530-z
Regular Article
Breather-like, singular, periodic, interaction of singular and periodic solitons, and a-periodic solitons of third-order nonlinear Schrödinger equation with an efficient algorithm
1
School of Foundation Studies, Zhejiang Pharmaceutical University, 315500, Ningbo Zhejiang, China
2
School of Mathematical Sciences, Jiangsu University, 212013, Zhenjiang, Jiangsu, People’s Republic of China
3
Department of computer science and mathematics, Lebanese American university, Beirut, Lebanon
4
Department of Mathematics, University of Swat, 01923 Swat, Khyber Pakhtunkhwa, Pakistan
Received:
8
June
2023
Accepted:
27
September
2023
Published online:
14
October
2023
In this study, a diverse range of optical soliton solutions for the high-order nonlinear Schrödinger equation (NLSE) are discovered using the Sardar sub-equation (SSE) technique. Initially, we present the general algorithm for the SSE technique. Next, we employ the traveling wave transform on the proposed equation, transforming it into nonlinear ordinary differential (NLOD) equations. These NLOD equations are then separated into their real and imaginary components. Furthermore, we apply the proposed method to obtain new optical soliton solutions for the NLSE, including breather-like solitons, singular optical solitons, periodic solitons, the interaction of singular and periodic solitons, and a-periodic solitons. The study involves numerical simulations of the exact analytical optical soliton solutions, allowing for an exploration of the effects of various parameters on the soliton wave.
The original online version of this article was revised: School of Foundation Studies, Zhejiang Pharmaceutical University; Ningbo Zhejiang, 315500, China
A correction to this article is available online at https://doi.org/10.1140/epjp/s13360-023-04673-z.
Copyright comment corrected publication 2023
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. corrected publication 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
