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

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

Cite this

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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",

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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 - https://www.scopus.com/pages/publications/0038793421

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

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