Complexiton solutions of the Toda lattice equation

Wen Xiu Ma*, Ken ichi Maruno

*この研究の対応する著者

研究成果査読

131 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)219-237
ページ数19
ジャーナルPhysica A: Statistical Mechanics and its Applications
343
1-4
DOI
出版ステータスPublished - 2004 11 15
外部発表はい

ASJC Scopus subject areas

  • 統計学および確率
  • 凝縮系物理学

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