On the hierarchies of the fully nonlinear Möbius-invariant and symmetry-integrable evolution equations of order three. Issue 4 (1st October 2020)

• Record Type: Journal Article
• Authors: Euler, Marianna; Euler, Norbert
• Is Part Of: Journal of nonlinear mathematical physics. Volume 27:Issue 4(2020)
• Page Start: 521
• Page End: 528
• Publication Date: 2020-10-01
• Subjects: Symmetry-Integrable Nonlinear Evolution Equations -- Fully Nonlinear PDEs -- Möbius transformations; 37K35 -- 35B06; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2020.1819627
• Languages: English
• ISSNs: 1402-9251

Abstract

Abstract : This is a follow-up paper to the results published in Studies in Applied Mathematics 143, 139–156 (2019), where we reported a classification of 3rd- and 5th-order semi-linear symmetry-integrable evolution equations that are invariant under the Möbius transformation, which includes a list of fully nonlinear 3rd-order equations that admit these properties. In the current paper we propose a simple method to compute the higher-order equations in the hierarchies for the fully nonlinear 3rd-order equations. We apply the proposed method to compute the 5th-order members of the hierarchies explicitly.