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arXiv · 2002.03245

Nonlinear Stability of Periodic-Wave Solutions for Systems of Dispersive Equations

Fabrício Cristófani·Ademir Pastor
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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.

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Fabrício Cristófani, Ademir Pastor. 2020-02-08. Nonlinear Stability of Periodic-Wave Solutions for Systems of Dispersive Equations. https://arxiv.org/abs/2002.03245

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