Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM
Abstract Background This paper studies soliton perturbation in optical metamaterials, with anticubic nonlinearity. Methods Two integration approaches, namely, the extended trial equation method (ETEM) and the improved G’/Gexpansion method (IGEM) are presented. Results Bright, dark and singular solit...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-06-01
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| Series: | Journal of the European Optical Society-Rapid Publications |
| Online Access: | http://link.springer.com/article/10.1186/s41476-018-0084-x |
| _version_ | 1819107414954213376 |
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| author | Mohammadreza Foroutan Jalil Manafian Arash Ranjbaran |
| author_facet | Mohammadreza Foroutan Jalil Manafian Arash Ranjbaran |
| author_sort | Mohammadreza Foroutan |
| collection | DOAJ |
| description | Abstract Background This paper studies soliton perturbation in optical metamaterials, with anticubic nonlinearity. Methods Two integration approaches, namely, the extended trial equation method (ETEM) and the improved G’/Gexpansion method (IGEM) are presented. Results Bright, dark and singular soliton solutions are retrieved. The existence criteria of these solitons in metamaterials are also demonstrated. All solutions have been verified back into its corresponding equation with the aid of maple package program. Conclusions Finally, we believe that the executed method is robust and efficient than other methods and the obtained solutions in this paper can help us to understand the variation of solitary waves in optical metamaterials. |
| first_indexed | 2024-12-22T02:53:40Z |
| format | Article |
| id | doaj.art-e2c6c27a88d34b5b868210a508008c9b |
| institution | Directory Open Access Journal |
| issn | 1990-2573 |
| language | English |
| last_indexed | 2024-12-22T02:53:40Z |
| publishDate | 2018-06-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | Journal of the European Optical Society-Rapid Publications |
| spelling | doaj.art-e2c6c27a88d34b5b868210a508008c9b2022-12-21T18:41:19ZengEDP SciencesJournal of the European Optical Society-Rapid Publications1990-25732018-06-0114111210.1186/s41476-018-0084-xSolitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEMMohammadreza Foroutan0Jalil Manafian1Arash Ranjbaran2Department of Mathematics, Payame Noor UniversityDepartment of Mathematics, Ilkhchi Branch, Islamic Azad UniversityDepartment of Mechanical Engineering, Ilkhchi Branch, Islamic Azad UniversityAbstract Background This paper studies soliton perturbation in optical metamaterials, with anticubic nonlinearity. Methods Two integration approaches, namely, the extended trial equation method (ETEM) and the improved G’/Gexpansion method (IGEM) are presented. Results Bright, dark and singular soliton solutions are retrieved. The existence criteria of these solitons in metamaterials are also demonstrated. All solutions have been verified back into its corresponding equation with the aid of maple package program. Conclusions Finally, we believe that the executed method is robust and efficient than other methods and the obtained solutions in this paper can help us to understand the variation of solitary waves in optical metamaterials.http://link.springer.com/article/10.1186/s41476-018-0084-x |
| spellingShingle | Mohammadreza Foroutan Jalil Manafian Arash Ranjbaran Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM Journal of the European Optical Society-Rapid Publications |
| title | Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM |
| title_full | Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM |
| title_fullStr | Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM |
| title_full_unstemmed | Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM |
| title_short | Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM |
| title_sort | solitons in optical metamaterials with anti cubic law of nonlinearity by etem and igem |
| url | http://link.springer.com/article/10.1186/s41476-018-0084-x |
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