论文标题
Gerdjikov-ivanov方程的可允许边界值，具有渐近时间周期性边界数据
Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data
论文作者
论文摘要
我们考虑在季度飞机上的gerdjikov-ivanov方程，并带有Dirichlet边界数据，而Neumann值则收敛到单个指数$α{\ rm E}^{{\ rm I}ωt} $和$ C {\ rm E}在假设初始数据衰减为$ x \ to \ infty $的假设下，我们在参数上得出了必要的条件$α$，$ω$，$ c $，用于存在相应初始边界值问题的解决方案。
We consider the Gerdjikov-Ivanov equation in the quarter plane with Dirichlet boundary data and Neumann value converging to single exponentials $α{\rm e}^{{\rm i}ωt}$ and $c{\rm e}^{{\rm i}ωt}$ as $t\to\infty$, respectively. Under the assumption that the initial data decay as $x\to\infty$, we derive necessary conditions on the parameters $α$, $ω$, $c$ for the existence of a solution of the corresponding initial boundary value problem.
