An integrable shallow water equation with peaked solitons

Preprint

13 May 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.patt-sol/9305002

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

SHALLOW WATER EQUATION
COMPLETELY INTEGRABLE
INTEGRABLE SHALLOW
PEAKED SOLITONS
NEW COMPLETELY
WATER EQUATION
SOLITON

All Related Versions

Version 1, 1993-05-13, ArXiv
Published version: Physical Review Letters, 71 (11), 1661.

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