Periodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung's Approach

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dc.contributor.authorVisinescu, A.
dc.contributor.authorGrecu, D.
dc.contributor.authorFedele, R.
dc.contributor.authorDe Nicola, S.
dc.date.accessioned2019-02-11T17:23:53Z
dc.date.available2019-02-11T17:23:53Z
dc.date.issued2011
dc.description.abstractUsing the multiple scales method, the interaction between two bright and one dark solitons is studied. Provided that a long wave-short wave resonance condition is satisfied, the two-component Zakharov-Yajima-Oikawa (ZYO) completely integrable system is obtained. By using a Madelung fluid description, the one-soliton solutions of the corresponding ZYO system are determined. Furthermore, a discussion on the interaction between one bright and two dark solitons is presented. In particular, this problem is reduced to solve a one-component ZYO system in the resonance conditions.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the Conference “Symmetries and Integrability of Difference Equations (SIDE-9)” (June 14–18, 2010, Varna, Bulgaria). The full collection is available at http://www.emis.de/journals/SIGMA/SIDE-9.html. Support through CNCSIS program IDEI-571/2008 is acknowledged. The authors are indebted to an anonymous referee for drawing their attention to the paper [26].uk_UA
dc.identifier.citationPeriodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung's Approach / A. Visinescu, D. Grecu, R. Fedele, S. De Nicola // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 35 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 35Q55; 37K10; 45G15
dc.identifier.otherDOI:10.3842/SIGMA.2011.041
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146858
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titlePeriodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung's Approachuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік