The Strict AKNS Hierarchy: Its Structure and Solutions
We discuss an integrable hierarchy of compatible Lax equations that is obtained by a wider deformation of a commutative algebra in the loop space of sl2 than that in the AKNS case and whose Lax equations are based on a different decomposition of this loop space. We show the compatibility of these La...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/3649205 |
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| author | G. F. Helminck |
| author_facet | G. F. Helminck |
| author_sort | G. F. Helminck |
| collection | DOAJ |
| description | We discuss an integrable hierarchy of compatible Lax equations that is obtained by a wider deformation of a commutative algebra in the loop space of sl2 than that in the AKNS case and whose Lax equations are based on a different decomposition of this loop space. We show the compatibility of these Lax equations and that they are equivalent to a set of zero curvature relations. We present a linearization of the system and conclude by giving a wide construction of solutions of this hierarchy. |
| format | Article |
| id | doaj-art-71b89bea264947818f0ffd92a229547d |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-71b89bea264947818f0ffd92a229547d2025-02-03T05:49:47ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/36492053649205The Strict AKNS Hierarchy: Its Structure and SolutionsG. F. Helminck0Korteweg-de Vries Institute, University of Amsterdam, P.O. Box 94248, 1090 GE Amsterdam, NetherlandsWe discuss an integrable hierarchy of compatible Lax equations that is obtained by a wider deformation of a commutative algebra in the loop space of sl2 than that in the AKNS case and whose Lax equations are based on a different decomposition of this loop space. We show the compatibility of these Lax equations and that they are equivalent to a set of zero curvature relations. We present a linearization of the system and conclude by giving a wide construction of solutions of this hierarchy.http://dx.doi.org/10.1155/2016/3649205 |
| spellingShingle | G. F. Helminck The Strict AKNS Hierarchy: Its Structure and Solutions Advances in Mathematical Physics |
| title | The Strict AKNS Hierarchy: Its Structure and Solutions |
| title_full | The Strict AKNS Hierarchy: Its Structure and Solutions |
| title_fullStr | The Strict AKNS Hierarchy: Its Structure and Solutions |
| title_full_unstemmed | The Strict AKNS Hierarchy: Its Structure and Solutions |
| title_short | The Strict AKNS Hierarchy: Its Structure and Solutions |
| title_sort | strict akns hierarchy its structure and solutions |
| url | http://dx.doi.org/10.1155/2016/3649205 |
| work_keys_str_mv | AT gfhelminck thestrictaknshierarchyitsstructureandsolutions AT gfhelminck strictaknshierarchyitsstructureandsolutions |