A family of integrable evolution equations of third order
- 10.1080/14029251.2017.1282244How to use a DOI?
- Integrable Equations; Differential substitutions; Krichever-Novikov equation
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.
- © 2017 The Authors. Published by Atlantis Press and Taylor & Francis
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Cite this article
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 -