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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 4, Pages 785-790
doi:10.1155/S0161171298001094

Integrability of doubly-periodic Riccati equation

Ling Ma and Keying Guan

Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

Abstract

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.