Symmetries of the Hirota Difference Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Symmetries of the Hirota Difference Equation
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| Creator |
Pogrebkov, A.K.
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| Description |
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.
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| Date |
2019-02-18T15:59:00Z
2019-02-18T15:59:00Z 2017 |
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| Type |
Article
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| Identifier |
Symmetries of the Hirota Difference Equation / A.K. Pogrebkov // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 19 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 35Q51; 37K10; 37K15; 37K40; 39A14 DOI:10.3842/SIGMA.2017.053 http://dspace.nbuv.gov.ua/handle/123456789/148569 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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