TY - JOUR

T1 - Complexiton solutions of the Toda lattice equation

AU - Ma, Wen Xiu

AU - Maruno, Ken ichi

N1 - Funding Information:
This work was supported in part by the University of South Florida Internal Awards Program under Grant No. 1249-936RO.

PY - 2004/11/15

Y1 - 2004/11/15

N2 - 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.

AB - 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.

KW - Casorati determinant

KW - Complexiton solution

KW - Integrable lattice equation

KW - Soliton solution

KW - Spectral problem

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U2 - 10.1016/j.physa.2004.06.072

DO - 10.1016/j.physa.2004.06.072

M3 - Article

AN - SCOPUS:4544353887

VL - 343

SP - 219

EP - 237

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 1-4

ER -