Quasi-periodic solutions for modified Toda lattice equation

Y.C. Hon and E.G. Fan

Chaos, Solitons & Fractals, 2009, vol. 40, issue 3, 1297-1308

Abstract: 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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:3:p:1297-1308

DOI: 10.1016/j.chaos.2007.09.008

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