On integrability of a third-order complex nonlinear wave equation
Exactly Solvable and Integrable Systems
2022-12-23 v1 Mathematical Physics
math.MP
Abstract
We show that the new third-order complex nonlinear wave equation, introduced recently by M\"{u}ller-Hoissen [arXiv:2202.04512], does not pass the Painlev\'{e} test for integrability. We find two reductions of this equation, one integrable and one non-integrable, whose solutions jointly cover all solutions of the original equation.
Cite
@article{arxiv.2205.09538,
title = {On integrability of a third-order complex nonlinear wave equation},
author = {Sergei Sakovich},
journal= {arXiv preprint arXiv:2205.09538},
year = {2022}
}
Comments
8 pages