Algebro-geometric constructions of semi-discrete Chen-Lee-Liu equations
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Detail(s)
Original language | English |
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Pages (from-to) | 3101-3111 |
Journal / Publication | Physics Letters, Section A: General, Atomic and Solid State Physics |
Volume | 374 |
Issue number | 31-32 |
Publication status | Published - 12 Jul 2010 |
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Abstract
Resorting to the finite-order expansion of the Lax matrix, the relation between elliptic coordinates and potentials is established, from which the semi-discrete Chen-Lee-Liu equations are decomposed into solvable ordinary differential equations. Based on the theory of algebraic curves, Abel-Jacobi coordinates are introduced to straighten out the continuous flow and discrete flow, by which explicit solutions of the semi-discrete Chen-Lee-Liu equations are obtained in the Abel-Jacobi coordinates. © 2010 Elsevier B.V. All rights reserved.
Research Area(s)
- Algebro-geometric constructions, Semi-discrete Chen-Lee-Liu equations
Citation Format(s)
Algebro-geometric constructions of semi-discrete Chen-Lee-Liu equations. / Su, Ting; Geng, Xianguo; Dai, Huihui.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 374, No. 31-32, 12.07.2010, p. 3101-3111.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 374, No. 31-32, 12.07.2010, p. 3101-3111.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review