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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| Дата: | 2017 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148759 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148759 |
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dspace |
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irk-123456789-1487592019-02-19T01:24:56Z N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation Feng, B.-F. Ohta, Y. 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. 2017 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148759 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Feng, B.-F. Ohta, Y. |
| spellingShingle |
Feng, B.-F. Ohta, Y. N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Feng, B.-F. Ohta, Y. |
| author_sort |
Feng, B.-F. |
| title |
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_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_sort |
n -bright-dark soliton solution to a semi-discrete vector nonlinear schrödinger equation |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148759 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT fengbf nbrightdarksolitonsolutiontoasemidiscretevectornonlinearschrodingerequation AT ohtay nbrightdarksolitonsolutiontoasemidiscretevectornonlinearschrodingerequation |
| first_indexed |
2023-05-20T17:31:15Z |
| last_indexed |
2023-05-20T17:31:15Z |
| _version_ |
1796153485628014592 |