Volume 16, Issue Supplement 1, December 2009, Pages 93 - 106
Multipotentialisations and Iterating-Solution Formulae: The Krichever–Novikov Equation
Authors
Norbert Euler, Marianna Euler
Department of Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden
Received 26 August 2009, Accepted 26 September 2009, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925109000340How to use a DOI?
- Keywords
- Integrable evolution equations in (1+1) dimensions; Auto-Bäcklund transformations; solution generators; potentialisation of evolution equations; conservation laws; Krichever–Novikov equation
- Abstract
We derive solution-formulae for the Krichever–Novikov equation by a systematic multipotentialisation of the equation. The formulae are achieved due to the connections of the Krichever–Novikov equations to certain symmetry-integrable 3rd-order evolution equations which admit autopotentialisations.
- Copyright
- © 2009 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 - Norbert Euler AU - Marianna Euler PY - 2021 DA - 2021/01/07 TI - Multipotentialisations and Iterating-Solution Formulae: The Krichever–Novikov Equation JO - Journal of Nonlinear Mathematical Physics SP - 93 EP - 106 VL - 16 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000340 DO - 10.1142/S1402925109000340 ID - Euler2021 ER -