TY - JOUR
T1 - Quasi-periodic solutions for modified Toda lattice equation
AU - Hon, Y. C.
AU - Fan, E. G.
PY - 2009/5/15
Y1 - 2009/5/15
N2 - Based on a spectral problem and the Lenard operator pairs, we derive in this paper a modified Toda lattice hierarchy. The modified Toda lattice equation is first decomposed into systems of integrable ordinary differential equations. A hyper-elliptic Riemann surface and Abel-Jacobi coordinates are then introduced to linearize the associated flow, from which some quasi-periodic solutions of the modified Toda lattice can be explicitly constructed in terms of Riemann theta functions by using Jacobi inversion technique. © 2007 Elsevier Ltd. All rights reserved.
AB - Based on a spectral problem and the Lenard operator pairs, we derive in this paper a modified Toda lattice hierarchy. The modified Toda lattice equation is first decomposed into systems of integrable ordinary differential equations. A hyper-elliptic Riemann surface and Abel-Jacobi coordinates are then introduced to linearize the associated flow, from which some quasi-periodic solutions of the modified Toda lattice can be explicitly constructed in terms of Riemann theta functions by using Jacobi inversion technique. © 2007 Elsevier Ltd. All rights reserved.
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U2 - 10.1016/j.chaos.2007.09.008
DO - 10.1016/j.chaos.2007.09.008
M3 - RGC 21 - Publication in refereed journal
SN - 0960-0779
VL - 40
SP - 1297
EP - 1308
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 3
ER -