on miura transformations and volterra-type equations associated with the adler-bobenko-suris equations

Clicks: 124
ID: 140780
2008
Free PDF
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This article has not been analysed, so there is no overall score — reader engagement is measured and shown alongside.
AI Quality Assessment
Not analyzed
Readership in this journal
Steady

Ranked #32 of 73 articles by views in Therapeutic drug monitoring

Most read Least read

Bar heights use a square-root scale.

Mint this article as an NFT
Not yet minted

Create a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.

5 SUSD one-off · no wallet required
Sign in to mint
Abstract
We construct Miura transformations mapping the scalar spectral problems of the integrable lattice equations belonging to the Adler-Bobenko-Suris (ABS) list into the discrete Schrödinger spectral problem associated with Volterra-type equations. We show that the ABS equations correspond to Bäcklund transformations for some particular cases of the discrete Krichever-Novikov equation found by Yamilov (YdKN equation). This enables us to construct new generalized symmetries for the ABS equations. The same can be said about the generalizations of the ABS equations introduced by Tongas, Tsoubelis and Xenitidis. All of them generate Bäcklund transformations for the YdKN equation. The higher order generalized symmetries we construct in the present paper confirm their integrability.
Reference Key
levi2008symmetry,on Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Decio Levi;Matteo Petrera;Christian Scimiterna;Ravil Yamilov
Journal Therapeutic drug monitoring
Year 2008
DOI
DOI not found
URL
http://dx.doi.org/10.3842/SIGMA.2008.077
Keywords
abs lattice equationsmathematics

Citations

No citations found. To add a citation, contact the admin at info@scimatic.org

Comments

No comments yet. Be the first to comment on this article.