On the Integrable Generalization of the 1D Toda Lattice

A generalized Toda Lattice equation is considered. The associated linear problem (Lax representation) is found. For simple case N=3 the \(\tau\)-function Hirota form is presented that allows to construct an exast solutions of the equations of the 1DGTL. The corresponding hierarchy and its relations...

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Bibliographic Details
Published in:arXiv.org 2010-06
Main Authors: P Yu Tsyba, Esmakhanova, K R, Nugmanova, G N, Myrzakulov, R
Format: Article
Language:English
Subjects:
Ferromagnetism
Nonlinear equations
Schrodinger equation
Online Access:Get full text
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Summary:A generalized Toda Lattice equation is considered. The associated linear problem (Lax representation) is found. For simple case N=3 the \(\tau\)-function Hirota form is presented that allows to construct an exast solutions of the equations of the 1DGTL. The corresponding hierarchy and its relations with the nonlinear Schrodinger equation and Hersenberg ferromagnetic equation are discussed.
ISSN:2331-8422