论文标题
关于三阶复合非线性波方程的整合性
On integrability of a third-order complex nonlinear wave equation
论文作者
论文摘要
我们表明，Müller-Hoissen [arxiv：2202.04512]最近推出的新的三阶复合波动方程并未通过Painlevé测试以寻求集成性。我们发现该方程式的两个降低，一个是可集成的和一个不可集成的，其解决方案共同涵盖了原始方程的所有解决方案。
We show that the new third-order complex nonlinear wave equation, introduced recently by Müller-Hoissen [arXiv:2202.04512], does not pass the Painlevé 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.
