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

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Modulational Instability of Small Amplitude Periodic Traveling Waves in the Novikov Equation

Brett Ehrman, Mathew A. Johnson, Stéphane Lafortune

We study the spectral stability of smooth, small-amplitude periodic traveling wave solutions of the Novikov equation, which is a Camassa-Holm type equation with cubic nonlinearitie…

math.AP2024

Orbital Stability of Smooth Solitary Waves for the Novikov Equation

Brett Ehrman, Mathew A. Johnson, Stéphane Lafortune

We study the orbital stability of smooth solitary wave solutions of the Novikov equation, which is a Camassa-Holm type equation with cubic nonlinearities. These solitary waves are…