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Stability of Nonlinear Waves Resonantly Sustained

Wu, Theodore Yaotsu (1994) Stability of Nonlinear Waves Resonantly Sustained. In: Nonlinear Instability of Nonparallel Flows. International Union of Theoretical and Applied Mechanics. Springer Berlin Heidelberg , Berlin, Heidelberg, pp. 367-381. ISBN 9783642850868. https://resolver.caltech.edu/CaltechAUTHORS:20201023-102058196

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Abstract

This talk will examine the stability properties of representative cases of nonlinear dispersive waves generated and sustained at resonance of physical systems capable of supporting solitary waves. The criteria are sought for realizing the remarkable phenomenon of periodic production of upstream-radiating solitary waves by critical disturbances moving steadily in a layer of shallow water as modeled by the forced KdV equation. Of primary interest are the distinctive features of instabilities of a few typical steady basic flows, the salient new characteristics of the associated eigenvalue problems, the relevant nonlinear effects, and the resulting bifurcation diagrams.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/978-3-642-85084-4_31DOIArticle
https://rdcu.be/b81fcPublisherFree ReadCube access
Additional Information:© Springer-Verlag, Berlin Heidelberg 1994.
Subject Keywords:Solitary Wave; Bifurcation Diagram; Primary Flow; Internal Solitary Wave; Symmetric Wave
Series Name:International Union of Theoretical and Applied Mechanics
Record Number:CaltechAUTHORS:20201023-102058196
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201023-102058196
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106256
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:23 Oct 2020 19:11
Last Modified:23 Oct 2020 19:11

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