Discretization of Liouville type nonautonomous equations preserving integrals
- https://doi.org/10.1080/14029251.2016.1248159How to use a DOI?
- Semi-discrete chain, Darboux integrability, x-integral, n-integral, continuum limit, discretization
The problem of constructing semi-discrete integrable analogues of the Liouville type integrable PDE is discussed. We call the semi-discrete equation a discretization of the Liouville type PDE if these two equations have a common integral. For the Liouville type integrable equations from the well-known Goursat list for which the integrals of minimal order are of the order less than or equal to two we presented a list of corresponding semi-discrete versions. The list contains new examples of non-autonomous Darboux integrable chains.
- © 2016 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Ismagil Habibullin AU - Natalya Zheltukhina PY - 2021 DA - 2021/01 TI - Discretization of Liouville type nonautonomous equations preserving integrals JO - Journal of Nonlinear Mathematical Physics SP - 620 EP - 642 VL - 23 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1248159 DO - https://doi.org/10.1080/14029251.2016.1248159 ID - Habibullin2021 ER -