Explicit solutions of the 2 + 1-dimensional modified Toda lattice through straightening out of the relativistic toda flows
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 3063-3069 |
Journal / Publication | Journal of the Physical Society of Japan |
Volume | 72 |
Issue number | 12 |
Publication status | Published - Dec 2003 |
Link(s)
Abstract
The 2 + 1-dimensional modified Toda lattice is decomposed into solvable ordinary differential equations with the help of the 1 + 1-dimensional relativistic Toda lattices. Based on the decomposition and the theory of algebraic curve, the straightening out of various flows, including the continuous flow and discrete flow, is exactly given through the introduced Abel-Jacobi coordinates. The explicit theta function solutions for the 2 + 1-dimensional modified Toda lattice are obtained explicitly. © 2003 The Physical Society of Japan.
Research Area(s)
- 2 + 1 Modified Toda lattice, Explicit solutions, The relativistic Toda lattice
Citation Format(s)
Explicit solutions of the 2 + 1-dimensional modified Toda lattice through straightening out of the relativistic toda flows. / Dai, H. H.; Geng, Xianguo.
In: Journal of the Physical Society of Japan, Vol. 72, No. 12, 12.2003, p. 3063-3069.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review