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Quasi-periodic solutions for modified Toda lattice equation

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  • Hon, Y.C.
  • Fan, E.G.

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.

Suggested Citation

  • Hon, Y.C. & Fan, E.G., 2009. "Quasi-periodic solutions for modified Toda lattice equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1297-1308.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1297-1308
    DOI: 10.1016/j.chaos.2007.09.008
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