N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation
In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method. One- and two-bright-dark soliton solutions are explicitly presented for two-component semi-discrete NLS equation; two-br...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2017 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148759 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation / B.-F. Feng, Y. Ohta // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 51 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862575218609881088 |
|---|---|
| author | Feng, B.-F. Ohta, Y. |
| author_facet | Feng, B.-F. Ohta, Y. |
| citation_txt | N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation / B.-F. Feng, Y. Ohta // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 51 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method. One- and two-bright-dark soliton solutions are explicitly presented for two-component semi-discrete NLS equation; two-bright-one-dark, and one-bright-two-dark soliton solutions are also given explicitly for three-component semi-discrete NLS equation. The asymptotic behavior is analysed for two-soliton solutions.
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| first_indexed | 2025-11-26T11:50:35Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148759 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T11:50:35Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Feng, B.-F. Ohta, Y. 2019-02-18T18:43:59Z 2019-02-18T18:43:59Z 2017 N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation / B.-F. Feng, Y. Ohta // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 51 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 39A10; 35Q55 DOI:10.3842/SIGMA.2017.071 https://nasplib.isofts.kiev.ua/handle/123456789/148759 In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method. One- and two-bright-dark soliton solutions are explicitly presented for two-component semi-discrete NLS equation; two-bright-one-dark, and one-bright-two-dark soliton solutions are also given explicitly for three-component semi-discrete NLS equation. The asymptotic behavior is analysed for two-soliton solutions. This paper is a contribution to the Special Issue on Symmetries and Integrability of Dif ference Equations.
 The full collection is available at http://www.emis.de/journals/SIGMA/SIDE12.html.
 dgements
 We greatly appreciate all referees’ useful comments which help us improve the present paper
 significantly. The work of B.F. is partially supported by NSF Grant (No. 1715991) and the COS
 Research Enhancement Seed Grants Program at UTRGV. The work of Y.O. is partly supported
 by JSPS Grant-in-Aid for Scientific Research (B-24340029, S-24224001, C-15K04909) and for
 Challenging Exploratory Research (26610029). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation Article published earlier |
| spellingShingle | N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation Feng, B.-F. Ohta, Y. |
| title | N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation |
| title_full | N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation |
| title_fullStr | N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation |
| title_full_unstemmed | N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation |
| title_short | N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation |
| title_sort | n -bright-dark soliton solution to a semi-discrete vector nonlinear schrödinger equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148759 |
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