Symmetries of the Hirota Difference Equation

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Фізико-технічні та математичні науки
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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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dc.contributor.author	Pogrebkov, A.K.
dc.date.accessioned	2019-02-18T15:59:00Z
dc.date.available	2019-02-18T15:59:00Z
dc.date.issued	2017
dc.identifier.citation	Symmetries of the Hirota Difference Equation / A.K. Pogrebkov // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 19 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 35Q51; 37K10; 37K15; 37K40; 39A14
dc.identifier.other	DOI:10.3842/SIGMA.2017.053
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148569
dc.description.abstract	Continuous symmetries of the Hirota difference equation, commuting with shifts of independent variables, are derived by means of the dressing procedure. Action of these symmetries on the dependent variables of the equation is presented. Commutativity of these symmetries enables interpretation of their parameters as ''times'' of the nonlinear integrable partial differential-difference and differential equations. Examples of equations resulting in such procedure and their Lax pairs are given. Besides these, ordinary, symmetries the additional ones are introduced and their action on the Scattering data is presented.	uk_UA
dc.description.sponsorship	This work has been funded by the Russian Academic Excellence Project ‘5-100’.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Symmetries of the Hirota Difference Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA