Bispectrality of N-Component KP Wave Functions: A Study in Non-Commutativity
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Bispectrality of N-Component KP Wave Functions: A Study in Non-Commutativity
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| Creator |
Kasman, A.
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| Description |
A wave function of the N-component KP Hierarchy with continuous flows determined by an invertible matrix H is constructed from the choice of an MN-dimensional space of finitely-supported vector distributions. This wave function is shown to be an eigenfunction for a ring of matrix differential operators in x having eigenvalues that are matrix functions of the spectral parameter z. If the space of distributions is invariant under left multiplication by H, then a matrix coefficient differential-translation operator in z is shown to share this eigenfunction and have an eigenvalue that is a matrix function of x. This paper not only generates new examples of bispectral operators, it also explores the consequences of non-commutativity for techniques and objects used in previous investigations.
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| Date |
2019-02-13T17:50:53Z
2019-02-13T17:50:53Z 2015 |
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| Type |
Article
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| Identifier |
Bispectrality of N-Component KP Wave Functions: A Study in Non-Commutativity / A. Kasman // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 33 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 34L05; 16S32; 37K10 DOI:10.3842/SIGMA.2015.087 http://dspace.nbuv.gov.ua/handle/123456789/147157 |
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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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