Construction of Novel Bright-Dark Solitons and Breather Waves of Unstable Nonlinear Schrödinger Equations with Applications
dc.contributor.author | Sarwar, Ambreen | |
dc.contributor.author | Arshad, Muhammad | |
dc.contributor.author | Farman, Muhammad | |
dc.contributor.author | Akgül, Ali | |
dc.contributor.author | Ahmed, Iftikhar | |
dc.contributor.author | Bayram, Mustafa | |
dc.contributor.author | Rezapour, Shahram | |
dc.contributor.author | De la Sen Parte, Manuel ![]() | |
dc.date.accessioned | 2023-01-23T17:37:23Z | |
dc.date.available | 2023-01-23T17:37:23Z | |
dc.date.issued | 2022-12-30 | |
dc.identifier.citation | Symmetry 15(1) : (2023) // Article ID 99 | es_ES |
dc.identifier.issn | 2073-8994 | |
dc.identifier.uri | http://hdl.handle.net/10810/59437 | |
dc.description.abstract | The unstable nonlinear Schrödinger equations (UNLSEs) are universal equations of the class of nonlinear integrable systems, which reveal the temporal changing of disruption in slightly stable and unstable media. In current paper, an improved auxiliary equation technique is proposed to obtain the wave results of UNLSE and modified UNLSE. Numerous varieties of results are generated in the mode of some special Jacobi elliptic functions and trigonometric and hyperbolic functions, many of which are distinctive and have significant applications such as pulse propagation in optical fibers. The exact soliton solutions also give information on the soliton interaction in unstable media. Furthermore, with the assistance of the suitable parameter values, various kinds of structures such as bright-dark, multi-wave structures, breather and kink-type solitons, and several periodic solitary waves are depicted that aid in the understanding of the physical interpretation of unstable nonlinear models. The various constructed solutions demonstrate the effectiveness of the suggested approach, which proves that the current technique may be applied to other nonlinear physical problems encountered in mathematical physics. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | unstable nonlinear Schrödinger equations | es_ES |
dc.subject | improved auxiliary equation method | es_ES |
dc.subject | solitons | es_ES |
dc.subject | breather-type waves | es_ES |
dc.subject | Jacobi elliptic functions | es_ES |
dc.title | Construction of Novel Bright-Dark Solitons and Breather Waves of Unstable Nonlinear Schrödinger Equations with Applications | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2023-01-20T14:23:09Z | |
dc.rights.holder | © 2022 by the authors.Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2073-8994/15/1/99 | es_ES |
dc.identifier.doi | 10.3390/sym15010099 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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Except where otherwise noted, this item's license is described as © 2022 by the authors.Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).