Title
A Variational Principle For Linear And Nonlinear-Wave Propagation In A Dissipative Medium
Abbreviated Journal Title
Phys. Scr.
Keywords
STOKES WAVES; DEEP-WATER; Physics, Multidisciplinary
Abstract
In this paper we will give a variational principle with a vanishing parameter which provides a satisfactory variational characterization of dissipative systems. We will incorporate this variational principle into Whitman's averaged Lagrangian method to develop a formulation for the propagation of a slowly-varying wavetrain in a dissipative medium. We will then apply this formulation to describe the nonlinear evolution of a modulated gravity wave packet on the surface of a dissipative fluid and show that the modulation is stabilized by the dissipative effects.
Journal Title
Physica Scripta
Volume
43
Issue/Number
3
Publication Date
1-1-1991
Document Type
Article
Language
English
First Page
236
Last Page
239
WOS Identifier
ISSN
0281-1847
Recommended Citation
"A Variational Principle For Linear And Nonlinear-Wave Propagation In A Dissipative Medium" (1991). Faculty Bibliography 1990s. 339.
https://stars.library.ucf.edu/facultybib1990/339
Comments
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