Small Amplitude Traveling Waves in the Full-Dispersion Whitham Equation

Academic Article


  • 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.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Stefanov A; Wright JD
  • Start Page

  • 85
  • End Page

  • 99
  • Volume

  • 32
  • Issue

  • 1