Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations
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| Creator |
Kiselev, A.V.
Wolf, T. |
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| Description |
We construct new integrable coupled systems of N = 1 supersymmetric equations and present integrable fermionic extensions of the Burgers and Boussinesq equations. Existence of infinitely many higher symmetries is demonstrated by the presence of recursion operators. Various algebraic methods are applied to the analysis of symmetries, conservation laws, recursion operators, and Hamiltonian structures. A fermionic extension of the Burgers equation is related with the Burgers flows on associative algebras. A Gardner's deformation is found for the bosonic super-field dispersionless Boussinesq equation, and unusual properties of a recursion operator for its Hamiltonian symmetries are described. Also, we construct a three-parametric supersymmetric system that incorporates the Boussinesq equation with dispersion and dissipation but never retracts to it for any values of the parameters.
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| Date |
2019-02-09T17:05:39Z
2019-02-09T17:05:39Z 2006 |
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| Type |
Article
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| Identifier |
Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations / A.V. Kiselev, T. Wolf // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 27 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 35Q53; 37K05; 37K10; 37K35; 58A50; 81T40 http://dspace.nbuv.gov.ua/handle/123456789/146439 |
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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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