Whitham modulation equations and application to small dispersion asymptotics and long time asymptotics of nonlinear dispersive equations
Mathematical Physics
2018-10-10 v1 Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
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
Keywords
Cite
@article{arxiv.1701.00069,
title = {Whitham modulation equations and application to small dispersion asymptotics and long time asymptotics of nonlinear dispersive equations},
author = {Tamara Grava},
journal= {arXiv preprint arXiv:1701.00069},
year = {2018}
}