Complexiton solutions of the Toda lattice equation

Wen Xiu Ma; Ken ichi Maruno

doi:10.1016/j.physa.2004.06.072

Complexiton solutions of the Toda lattice equation

Wen Xiu Ma^*, Ken ichi Maruno

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

131 Citations (Scopus)

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
Pages (from-to)	219-237
Number of pages	19
Journal	Physica A: Statistical Mechanics and its Applications
Volume	343
Issue number	1-4
DOIs	https://doi.org/10.1016/j.physa.2004.06.072
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

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10.1016/j.physa.2004.06.072

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title = "Complexiton solutions of the Toda lattice equation",

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.",

keywords = "Casorati determinant, Complexiton solution, Integrable lattice equation, Soliton solution, Spectral problem",

author = "Ma, {Wen Xiu} and Maruno, {Ken ichi}",

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

year = "2004",

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doi = "10.1016/j.physa.2004.06.072",

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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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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 -

Complexiton solutions of the Toda lattice equation

Abstract

Keywords

ASJC Scopus subject areas

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