Complexiton solutions of the Toda lattice equation

Wen-Xiu Ma and Ken-ichi Maruno

Physica A: Statistical Mechanics and its Applications, 2004, vol. 343, issue C, 219-237

Abstract: A set of coupled conditions consisting of differential-difference equations is presented for Casorati determinants to solve the Toda lattice equation. One class of the resulting conditions leads to an approach for constructing complexiton solutions to the Toda lattice equation through the Casoratian formulation. An analysis is made for solving the resulting system of differential-difference equations, thereby providing the general solution yielding eigenfunctions required for forming complexitons. Moreover, a feasible way is presented to compute the required eigenfunctions, along with examples of real complexitons of lower order.

Keywords: Integrable lattice equation; Casorati determinant; Spectral problem; Soliton solution; Complexiton solution (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:343:y:2004:i:c:p:219-237

DOI: 10.1016/j.physa.2004.06.072

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