English

On evolution of multiphase nonlinear modulated waves

solv-int 2008-02-03 v1 Exactly Solvable and Integrable Systems

Abstract

We present a fundamental solution to an initial value problem for the KdV-Whitham system in an explicit integral form. Monotonically decreasing initial data with finite number of breaking points are considered. Generating function for the commuting flows of the averaged KdV hieararchy producing the analytical solutions to the KdV-Whitham system is constructed.

Keywords

Cite

@article{arxiv.solv-int/9512003,
  title  = {On evolution of multiphase nonlinear modulated waves},
  author = {G. A. El},
  journal= {arXiv preprint arXiv:solv-int/9512003},
  year   = {2008}
}

Comments

15 pages of Standard LaTeX and 4 figures. The figures are available by fax. Please send your request by e-mail address: [email protected]