An equation admitting infinite true contact transformations

Ebrahim Momoniat

doi:10.1016/S0022-247X(03)00219-1

An equation admitting infinite true contact transformations

Ebrahim Momoniat

University of the Witwatersrand

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

2 Citations (Scopus)

Abstract

The linear wave equation is shown to possess the unique property that if w_n is a true contact transformation admitted by the wave equation, i.e., w_n is not linear in the first derivatives of the dependent variable, then so is ∑_n w_n. We comment of the physical implications.

Original language	English
Pages (from-to)	668-672
Number of pages	5
Journal	Journal of Mathematical Analysis and Applications
Volume	282
Issue number	2
DOIs	https://doi.org/10.1016/S0022-247X(03)00219-1
Publication status	Published - 15 Jun 2003
Externally published	Yes

Keywords

Linear wave equation
True contact transformation

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/S0022-247X(03)00219-1

Cite this

@article{9d177343e3b948c9bc41463dd23e616e,

title = "An equation admitting infinite true contact transformations",

abstract = "The linear wave equation is shown to possess the unique property that if wn is a true contact transformation admitted by the wave equation, i.e., wn is not linear in the first derivatives of the dependent variable, then so is ∑n wn. We comment of the physical implications.",

keywords = "Linear wave equation, True contact transformation",

author = "Ebrahim Momoniat",

year = "2003",

month = jun,

day = "15",

doi = "10.1016/S0022-247X(03)00219-1",

language = "English",

volume = "282",

pages = "668--672",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - An equation admitting infinite true contact transformations

AU - Momoniat, Ebrahim

PY - 2003/6/15

Y1 - 2003/6/15

N2 - The linear wave equation is shown to possess the unique property that if wn is a true contact transformation admitted by the wave equation, i.e., wn is not linear in the first derivatives of the dependent variable, then so is ∑n wn. We comment of the physical implications.

AB - The linear wave equation is shown to possess the unique property that if wn is a true contact transformation admitted by the wave equation, i.e., wn is not linear in the first derivatives of the dependent variable, then so is ∑n wn. We comment of the physical implications.

KW - Linear wave equation

KW - True contact transformation

UR - http://www.scopus.com/inward/record.url?scp=0038793421&partnerID=8YFLogxK

U2 - 10.1016/S0022-247X(03)00219-1

DO - 10.1016/S0022-247X(03)00219-1

M3 - Article

AN - SCOPUS:0038793421

SN - 0022-247X

VL - 282

SP - 668

EP - 672

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

An equation admitting infinite true contact transformations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this