Journal of Nonlinear Mathematical Physics

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Volume 24, Issue 1, December 2016, Pages 73 - 78

A family of integrable evolution equations of third order

Authors
Matthew Babela, Alexandre Odesskii
Department of Mathematics and Statistics, Brock University, St. Catharines, ON L2S 3A1, Canada
*Corresponding author. E-mail: aodesski@brocku.ca
Corresponding Author
Alexandre Odesskii
Received 1 September 2016, Accepted 29 November 2016, Available Online 6 January 2021.
DOI
10.1080/14029251.2017.1282244How to use a DOI?
Keywords
Integrable Equations; Differential substitutions; Krichever-Novikov equation
Abstract

We construct a family of integrable equations of the form vt = f(v; vx; vxx; vxxx) such that f is a transcendental function in v; vx; vxx. This family is related to the Krichever-Novikov equation by a differential substitution. Our construction of integrable equations and the corresponding differential substitutions involves geometry of a family of genus two curves and their Jacobians.

Copyright
© 2017 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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
24 - 1
Pages
73 - 78
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2017.1282244How to use a DOI?
Copyright
© 2017 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

risenwbib
TY  - JOUR
AU  - Matthew Babela
AU  - Alexandre Odesskii
PY  - 2021
DA  - 2021/01/06
TI  - A family of integrable evolution equations of third order
JO  - Journal of Nonlinear Mathematical Physics
SP  - 73
EP  - 78
VL  - 24
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2017.1282244
DO  - 10.1080/14029251.2017.1282244
ID  - Babela2021
ER  -