Title

A Variational Principle For Linear And Nonlinear-Wave Propagation In A Dissipative Medium

Title - Alternative

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.

Publication 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

WOS:A1991FC40100003

ISSN

0281-1847

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