An integrable shallow water equation with peaked solitons
patt-sol
2009-10-22 v1 Pattern Formation and Solitons
Abstract
We derive a new completely integrable dispersive shallow water equation that is biHamiltonian and thus possesses an infinite number of conservation laws in involution. The equation is obtained by using an asymptotic expansion directly in the Hamiltonian for Euler's equations in the shallow water regime. The soliton solution for this equation has a limiting form that has a discontinuity in the first derivative at its peak.
Keywords
Cite
@article{arxiv.patt-sol/9305002,
title = {An integrable shallow water equation with peaked solitons},
author = {Roberto Camassa and Darryl D. Holm},
journal= {arXiv preprint arXiv:patt-sol/9305002},
year = {2009}
}
Comments
LaTeX file. Figure available from authors upon request