论文标题
分散方程和应用的单参数周期性流动波的轨道稳定性
Orbital stability of one-parameter periodic traveling waves for dispersive equations and applications
论文作者
论文摘要
本文为一维色散方程的单参数周期性旅行波解决方案的轨道稳定性建立了适当的条件。我们的证明方法将已知技术与一些新想法相结合。由于我们的结果，我们为众所周知的分散方程提供了多个应用。还建立了将理论扩展到正则方程式。
This paper establishes suficient conditions for the orbital stability of one-parameter spatially periodic traveling-wave solutions for one-dimensional dispersive equations. Our method of proof combines known techniques with some new ideas. As a consequence of our result, we give several applications for well known dispersive equations. Extension of the theory to regularized equations is also established.
