Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy

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dc.contributor.authorChvartatskyi, O.
dc.contributor.authorSydorenko, Y.
dc.date.accessioned2019-02-12T20:55:36Z
dc.date.available2019-02-12T20:55:36Z
dc.date.issued2015
dc.description.abstractNew extensions of the KP and modified KP hierarchies with self-consistent sources are proposed. The latter provide new generalizations of (2+1)-dimensional integrable equations, including the DS-III equation and the N-wave problem. Furthermore, we recover a system that contains two types of the KP equation with self-consistent sources as special cases. Darboux and binary Darboux transformations are applied to generate solutions of the proposed hierarchies.uk_UA
dc.description.sponsorshipThe authors are grateful to Professors Folkert M¨uller-Hoissen and Maxim Pavlov for fruitful discussions and useful advice in preparation of this paper. The authors also wish to express their gratitude to the referees for their valuable comments and suggestions. O. Chvartatskyi has been supported via the Alexander von Humboldt foundation. Yu.M. Sydorenko is grateful to the Ministry of Education, Science, Youth and Sports of Ukraine for partial financial support (Research Grant MA-107F).uk_UA
dc.identifier.citationDarboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy / O. Chvartatskyi, Y. Sydorenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 85 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 35Q51; 35Q53; 35Q55; 37K35
dc.identifier.otherDOI:10.3842/SIGMA.2015.028
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147016
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleDarboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchyuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік