Integrability of doubly-periodic Riccati equation

By the structure of solvable subgroup of SL(2,ℂ) (see [1]), the integrability and properties of solutions of a Riccati equation with an elliptic function coefficient, which is related to a Fuchsian equation on the torus T2,is studied.

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Main Authors: Ma Ling, Guan Ke-Ying
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171298001094
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author Ma Ling
Guan Ke-Ying
author_facet Ma Ling
Guan Ke-Ying
author_sort Ma Ling
collection DOAJ
description By the structure of solvable subgroup of SL(2,ℂ) (see [1]), the integrability and properties of solutions of a Riccati equation with an elliptic function coefficient, which is related to a Fuchsian equation on the torus T2,is studied.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1998-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-404c7bda701649fba2d617c87915c6742025-02-03T01:08:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121478579010.1155/S0161171298001094Integrability of doubly-periodic Riccati equationMa Ling0Guan Ke-Ying1Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, ChinaDepartment of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, ChinaBy the structure of solvable subgroup of SL(2,ℂ) (see [1]), the integrability and properties of solutions of a Riccati equation with an elliptic function coefficient, which is related to a Fuchsian equation on the torus T2,is studied.http://dx.doi.org/10.1155/S0161171298001094Integrabilitydoubly-periodic Riccati equationmonodromy groupsolvable subgroup of SL(2,ℂ)invariant.
spellingShingle Ma Ling
Guan Ke-Ying
Integrability of doubly-periodic Riccati equation
International Journal of Mathematics and Mathematical Sciences
Integrability
doubly-periodic Riccati equation
monodromy group
solvable subgroup of SL(2,ℂ)
invariant.
title Integrability of doubly-periodic Riccati equation
title_full Integrability of doubly-periodic Riccati equation
title_fullStr Integrability of doubly-periodic Riccati equation
title_full_unstemmed Integrability of doubly-periodic Riccati equation
title_short Integrability of doubly-periodic Riccati equation
title_sort integrability of doubly periodic riccati equation
topic Integrability
doubly-periodic Riccati equation
monodromy group
solvable subgroup of SL(2,ℂ)
invariant.
url http://dx.doi.org/10.1155/S0161171298001094
work_keys_str_mv AT maling integrabilityofdoublyperiodicriccatiequation
AT guankeying integrabilityofdoublyperiodicriccatiequation