Complexiton solutions of the Toda lattice equation

Wen Xiu Ma*, Ken ichi Maruno

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

134 Citations (Scopus)


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 languageEnglish
Pages (from-to)219-237
Number of pages19
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-4
Publication statusPublished - 2004 Nov 15
Externally publishedYes


  • Casorati determinant
  • Complexiton solution
  • Integrable lattice equation
  • Soliton solution
  • Spectral problem

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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