On the Integrable Generalization of the 1D Toda Lattice
Mathematical Physics
2010-06-24 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
A generalized Toda Lattice equation is considered. The associated linear problem (Lax representation) is found. For simple case N=3 the -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.
Keywords
Cite
@article{arxiv.1006.4600,
title = {On the Integrable Generalization of the 1D Toda Lattice},
author = {P. Yu. Tsyba and K. R. Esmakhanova and G. N. Nugmanova and R. Myrzakulov},
journal= {arXiv preprint arXiv:1006.4600},
year = {2010}
}
Comments
11 pages