论文标题
关于KDV方程的周期性多soliton的稳定性
On the stability of periodic multi-solitons of the KdV equation
论文作者
论文摘要
In this paper we obtain the following stability result for periodic multi-solitons of the KdV equation: We prove that under any given semilinear Hamiltonian perturbation of small size $\varepsilon > 0$, a large class of periodic multi-solitons of the KdV equation, including ones of large amplitude, are orbitally stable for a time interval of length at least $ O（\ varepsilon^{ - 2}）$。据我们所知，这是该类型的第一个稳定性结果，用于大尺寸的可集成PDE的周期性多soliton。
In this paper we obtain the following stability result for periodic multi-solitons of the KdV equation: We prove that under any given semilinear Hamiltonian perturbation of small size $\varepsilon > 0$, a large class of periodic multi-solitons of the KdV equation, including ones of large amplitude, are orbitally stable for a time interval of length at least $O(\varepsilon^{-2})$. To the best of our knowledge, this is the first stability result of such type for periodic multi-solitons of large size of an integrable PDE.
