论文标题
分散方程系统的周期性波解决方案的非线性稳定性
Nonlinear Stability of Periodic-Wave Solutions for Systems of Dispersive Equations
论文作者
论文摘要
我们证明了针对具有耦合非线性术语的分散方程系统的定期旅行波解决方案的轨道稳定性。我们的方法基本上是在两个假设下开发的：一种关于线性化操作员围绕波动的频谱的一个假设，另一个是关于存在具有合适特性的保守数量的另一个。该方法可以应用于多个系统，例如Liu-kubota-ko系统，修改后的KDV系统和Log-KDV类型系统。
We prove the orbital stability of periodic traveling-wave solutions for systems of dispersive equations with coupled nonlinear terms. Our method is basically developed under two assumptions: one concerning the spectrum of the linearized operator around the traveling wave and another one concerning the existence of a conserved quantity with suitable properties. The method can be applied to several systems such as the Liu-Kubota-Ko system, the modified KdV system and a log-KdV type system.
