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2010•Studies in Applied MathematicsRequires access

Explicit Solutions to an Integrable Lattice

Zuo-Nong Zhu, Hai-Fu Zhao, F.-F. Zhang

Open publisher page 13 citations

Abstract

In this paper, we aim to construct the Darboux transformation and explicit solutions for an integrable lattice introduced by Suris. Analysis of properties of the solutions shows that the obtained explicit solutions for this discrete integrable system possess new dynamical characters which are different from the ones of continuous integrable systems.

About this research paper

What this paper is about

In this paper, we aim to construct the Darboux transformation and explicit solutions for an integrable lattice introduced by Suris. Analysis of properties of the solutions shows that the obtained explicit solutions for this discrete integrable system possess new dynamical characters which are different from the ones of continuous integrable systems.

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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we aim to construct the Darboux transformation and explicit solutions for an integrable lattice introduced by Suris. Analysis of properties of the solutions shows that the obtained explicit solutions for this discrete integrable system possess new dynamical characters which are different from the ones of continuous integrable systems.

Key concepts: Integrable system, Lattice (music), Mathematics, Transformation (genetics), Pure mathematics, Dynamical systems theory, Construct (python library), Mathematical analysis

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