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N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation
Інший ID:
2010 Mathematics Subject Classification: 39A10; 35Q55
DOI:10.3842/SIGMA.2017.071
DOI:10.3842/SIGMA.2017.071
Посилання:
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.
Підтримка:
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).
Дата:
2017
Переглядів:
514
Завантажень:
243
Анотація:
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.
