On a class of conservative waves

L.J.F. Broer; L.A. Peletier

doi:10.1007/BF00419781

On a class of conservative waves

L.J.F. Broer, L.A. Peletier

Applied Physics and Science Education

Research output: Contribution to journal › Article › Academic › peer-review

3 Citations (Scopus)

Abstract

A class of wave equations, derived by means of a Lagrangian density, is discussed. The dispersion relation W(, k)=0, where is the frequency and k the wave number of a harmonic wave has been derived and some properties of the functions 2(k 2) have been shown. Conservation laws have been derived, and formal solutions of the initial value problem and a class of mixed initial-boundary value problems have been presented. It has been shown that the solutions of the latter class are causal although the Kramers-Kronig relations are not satisfied.

Original language	English
Pages (from-to)	133-149
Journal	Applied Scientific Research
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/BF00419781
Publication status	Published - 1967

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title = "On a class of conservative waves",

abstract = "A class of wave equations, derived by means of a Lagrangian density, is discussed. The dispersion relation W(, k)=0, where is the frequency and k the wave number of a harmonic wave has been derived and some properties of the functions 2(k 2) have been shown. Conservation laws have been derived, and formal solutions of the initial value problem and a class of mixed initial-boundary value problems have been presented. It has been shown that the solutions of the latter class are causal although the Kramers-Kronig relations are not satisfied.",

author = "L.J.F. Broer and L.A. Peletier",

year = "1967",

doi = "10.1007/BF00419781",

language = "English",

volume = "17",

pages = "133--149",

journal = "Applied Scientific Research",

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publisher = "Kluwer Academic Publishers",

number = "2",

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T1 - On a class of conservative waves

AU - Broer, L.J.F.

AU - Peletier, L.A.

PY - 1967

Y1 - 1967

N2 - A class of wave equations, derived by means of a Lagrangian density, is discussed. The dispersion relation W(, k)=0, where is the frequency and k the wave number of a harmonic wave has been derived and some properties of the functions 2(k 2) have been shown. Conservation laws have been derived, and formal solutions of the initial value problem and a class of mixed initial-boundary value problems have been presented. It has been shown that the solutions of the latter class are causal although the Kramers-Kronig relations are not satisfied.

AB - A class of wave equations, derived by means of a Lagrangian density, is discussed. The dispersion relation W(, k)=0, where is the frequency and k the wave number of a harmonic wave has been derived and some properties of the functions 2(k 2) have been shown. Conservation laws have been derived, and formal solutions of the initial value problem and a class of mixed initial-boundary value problems have been presented. It has been shown that the solutions of the latter class are causal although the Kramers-Kronig relations are not satisfied.

U2 - 10.1007/BF00419781

DO - 10.1007/BF00419781

M3 - Article

SN - 0003-6994

VL - 17

SP - 133

EP - 149

JO - Applied Scientific Research

JF - Applied Scientific Research

IS - 2

ER -

On a class of conservative waves

Abstract

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