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Volume 27, Issue 4, September 2020, Pages 521 - 528
On the hierarchies of the fully nonlinear Möbius-invariant and symmetry-integrable evolution equations of order three
Authors
Marianna Euler, Norbert Euler*
Department of Mathematics, Jinan University, 601 Huangpu W Ave, 510632 Guangzhou, People’s Republic of China and Centro Internacional de Ciencias, Av. Universidad s/n, Colonia Chamilpa, 62210 Cuernavaca, Morelos, Mexico
*Corresponding author’s email address: euler199@gmail.com
Corresponding Author
Norbert Euler
Received 5 August 2020, Accepted 13 August 2020, Available Online 4 September 2020.
- DOI
- 10.1080/14029251.2020.1819627How to use a DOI?
- Keywords
- Symmetry-Integrable Nonlinear Evolution Equations; Fully Nonlinear PDEs; Möbius transformations
- 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.
- Copyright
- © 2020 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/).
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TY - JOUR AU - Marianna Euler AU - Norbert Euler PY - 2020 DA - 2020/09/04 TI - On the hierarchies of the fully nonlinear Möbius-invariant and symmetry-integrable evolution equations of order three JO - Journal of Nonlinear Mathematical Physics SP - 521 EP - 528 VL - 27 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1819627 DO - 10.1080/14029251.2020.1819627 ID - Euler2020 ER -