2018/10/26 by R. N. Garifullin, Rustem N. Garifullin, Giorgio Gubbiotti +3 · 12 citations
Mathematics · Physics and Astronomy · #Class (philosophy) #Construct (python library) #Homogeneous space #Integrable system #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Point (geometry) #Quantum Mechanics and Non-Hermitian Physics #Simple (philosophy) #Type (biology) #math-ph #math.MP #msc:37K10 #msc:37L20 #msc:39A14 #nlin.SI
paper · pdf · doi:10.1080/14029251.2019.1613050
published in Journal of Nonlinear Mathematical Physics 26(3), 333 (Springer Nature) · 27 pages
arxiv created 2018/10/26 · openalex created_date 2018/11/02 · openalex publication_date 2019/05/09 · arxiv updated 2019/07/01 · openalex updated_date 2026/08/05
In this paper we construct the autonomous quad-equations which admit as symmetries the five-point differential-difference equations belonging to known lists found by Garifullin, Yamilov and Levi.The obtained equations are classified up to autonomous point transformations and some simple non-autonomous transformations.We discuss our results in the framework of the known literature.There are among them a few new examples of both sine-Gordon and Liouville type equations.