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

    Authors

    B. K. Shivamoggi;D. K. Rollins

    Comments

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    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

    WOS:A1991FC40100003

    ISSN

    0281-1847

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