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In this article, we provide an alternative way to construct small amplitude traveling waves for general Whitham type equations, in both periodic and whole line contexts. More specifically, Fourier analysis… Click to show full abstract
In this article, we provide an alternative way to construct small amplitude traveling waves for general Whitham type equations, in both periodic and whole line contexts. More specifically, Fourier analysis techniques allow us to reformulate the problem to the study of waves that are small and regular perturbations of well-understood ODE’s. In addition, rigorous spectral stability of these waves is established.
Keywords:
dispersion whitham;
amplitude traveling;
full dispersion;
traveling waves;
waves full;
small amplitude
Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!