ScholarLens Back to search
1999•Journal of Physics A Mathematical and GeneralRequires access

Integrable discretizations for Toda-type lattice soliton equations

Zuo-Nong Zhu, Hongci Huang

Open publisher page 16 citations

Abstract

From a proper 2 × 2 discrete isospectral problem, a new integrable lattice soliton system is proposed. Integrable discretizations of a general Toda-type lattice soliton equation associated with the discrete isospectral problem are established. The Lagrangian and Newtonian forms of integrable discretizations of Toda-type lattice equations which occur in the literature are given uniformly and some new integrable discretizations of the Toda-type lattice are obtained.

About this research paper

What this paper is about

From a proper 2 × 2 discrete isospectral problem, a new integrable lattice soliton system is proposed. Integrable discretizations of a general Toda-type lattice soliton equation associated with the discrete isospectral problem are established. The Lagrangian and Newtonian forms of integrable discretizations of Toda-type lattice equations which occur in the literature are given uniformly and some new integrable discretizations of the Toda-type lattice are obtained.

Why it matters

OpenAlex reports 16 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

From a proper 2 × 2 discrete isospectral problem, a new integrable lattice soliton system is proposed. Integrable discretizations of a general Toda-type lattice soliton equation associated with the discrete isospectral problem are established. The Lagrangian and Newtonian forms of integrable discretizations of Toda-type lattice equations which occur in the literature are given uniformly and some new integrable discretizations of the Toda-type lattice are obtained.

Key concepts: Isospectral, Integrable system, Toda lattice, Lattice (music), Mathematical physics, Mathematics, Soliton, Peakon

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Integrable discretizations for Toda-type lattice soliton equations — Research Paper | ScholarLens