The Korteweg-de Vries equation and water waves. Solutions of the equation. Part 1-Reference-Cited by-同舟云学术

The Korteweg-de Vries equation and water waves. Solutions of the equation. Part 1

Published:1973-08-07 Issue:4 Volume:59 Page:721-736
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Segur Harvey

Abstract

The method of solution of the Korteweg–de Vries equation outlined by Gardneret al.(1967) is exploited to solve the equation. A convergent series representation of the solution is obtained, and previously known aspects of the solution are related to this general form. Asymptotic properties of the solution, valid for large time, are examined. Several simple methods of obtaining approximate asymptotic results are considered.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference22 articles.

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5. Agranovich, Z. S. & Marchenko, V. A. 1963 The Inverse Problem of Scattering Theory (trans. B. D. Seckler).Gordon & Breach.

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