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.
Original language | English |
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Pages (from-to) | 219-237 |
Number of pages | 19 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 343 |
Issue number | 1-4 |
DOIs | |
Publication status | Published - 2004 Nov 15 |
Externally published | Yes |
Keywords
- Casorati determinant
- Complexiton solution
- Integrable lattice equation
- Soliton solution
- Spectral problem
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics