The system of two parabolic equations as an integrable system
Exactly Solvable and Integrable Systems
2017-08-01 v1
Abstract
In this paper we present a system of two nonlinear partial differential equations of the second order, depending on the time and one spatial coordinate. It can be written as a system of two Burgers equations, which allows one to immediately conclude that it is integrable. This system seems to be new, and its consideration can be of independent interest.
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Cite
@article{arxiv.1707.09852,
title = {The system of two parabolic equations as an integrable system},
author = {Maria Shubina},
journal= {arXiv preprint arXiv:1707.09852},
year = {2017}
}
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5 pages