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
UR - http://www.scopus.com/inward/record.url?scp=4544353887&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4544353887&partnerID=8YFLogxK
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 -