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most citedModulational Instability of Small Amplitude Periodic Traveling Waves in the Novikov Equation

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Linear Asymptotic Stability of the Smooth 1-Solitons for the Degasperis-Procesi Equation

Simon Deng, Mathew A. Johnson, Stéphane Lafortune

In this paper, we study the asymptotic stability of smooth 1-solitons in the Degasperis-Procesi (DP) equation. Such solutions necessarily exist on a non-zero background, and their…