N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation

dc.contributor.authorFeng, B.-F.
dc.contributor.authorOhta, Y.
dc.date.accessioned2019-02-18T18:43:59Z
dc.date.available2019-02-18T18:43:59Z
dc.date.issued2017
dc.description.abstractIn 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.uk_UA
dc.description.sponsorshipThis 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).uk_UA
dc.identifier.citationN -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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 39A10; 35Q55
dc.identifier.otherDOI:10.3842/SIGMA.2017.071
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148759
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleN -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equationuk_UA
dc.typeArticleuk_UA

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