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arXiv · 2206.02898

Stability of mKdV breathers on the half-line

Miguel A. Alejo·Márcio Cavalcante·Adán J. Corcho
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Abstract

In this paper we study the stability problem for mKdV breathers on the left half-line. We are able to show that leftwards moving breathers, initially located far away from the origin, are strongly stable for the problem posed on the left half-line, when assuming homogeneous boundary conditions. The proof involves a Lyapunov functional which is almost conserved by the mKdV flow once we control some boundary terms which naturally arise.

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Miguel A. Alejo, Márcio Cavalcante, Adán J. Corcho. 2022-06-06. Stability of mKdV breathers on the half-line. https://arxiv.org/abs/2206.02898

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