Whitham modulation equations and application to small dispersion asymptotics and long time asymptotics of nonlinear dispersive equations

Abstract

We review the theory of modulation equations or Whitham equations for the travelling wave solution of KdV. We then apply the Whitham modulation equations to describe the long-time asymptotics and small dispersion asymptotics of the KdV solution

References in corpus (1)

• On Whitham theory for perturbed integrable equations

Cited by in corpus (3)

• Curved wedges in the long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation
• Whitham equations and phase shifts for the Korteweg-deVries equation
• Genus two KdV soliton gases and their long-time asymptotics