Nonlinear Stability of Periodic-Wave Solutions for Systems of Dispersive Equations
Analysis of PDEs
2020-02-13 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2002.03245,
title = {Nonlinear Stability of Periodic-Wave Solutions for Systems of Dispersive Equations},
author = {Fabrício Cristófani and Ademir Pastor},
journal= {arXiv preprint arXiv:2002.03245},
year = {2020}
}