A note on the stability of travelling wave solutions of Burgers' equation

Kenji Nishihara

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

The stability of travelling wave solutions of Burgers' equation is investigated. It is shown that the solution with the initial disturbance is explicitly represented by virtue of the Hopf transformation and tends to a travelling wave solution with the speed depending on behaviours at ±∞ of the initial disturbance.

Original languageEnglish
Pages (from-to)27-35
Number of pages9
JournalJapan Journal of Applied Mathematics
Volume2
Issue number1
DOIs
Publication statusPublished - 1985 Jun
Externally publishedYes

Fingerprint

Burgers Equation
Traveling Wave Solutions
Disturbance
Tend

Keywords

  • Burgers' equation
  • travelling wave solution

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

Cite this

A note on the stability of travelling wave solutions of Burgers' equation. / Nishihara, Kenji.

In: Japan Journal of Applied Mathematics, Vol. 2, No. 1, 06.1985, p. 27-35.

Research output: Contribution to journalArticle

@article{32922ed22bc64021b270b9fb0e0a28af,
title = "A note on the stability of travelling wave solutions of Burgers' equation",
abstract = "The stability of travelling wave solutions of Burgers' equation is investigated. It is shown that the solution with the initial disturbance is explicitly represented by virtue of the Hopf transformation and tends to a travelling wave solution with the speed depending on behaviours at ±∞ of the initial disturbance.",
keywords = "Burgers' equation, travelling wave solution",
author = "Kenji Nishihara",
year = "1985",
month = "6",
doi = "10.1007/BF03167037",
language = "English",
volume = "2",
pages = "27--35",
journal = "Japan Journal of Industrial and Applied Mathematics",
issn = "0916-7005",
publisher = "Springer Japan",
number = "1",

}

TY - JOUR

T1 - A note on the stability of travelling wave solutions of Burgers' equation

AU - Nishihara, Kenji

PY - 1985/6

Y1 - 1985/6

N2 - The stability of travelling wave solutions of Burgers' equation is investigated. It is shown that the solution with the initial disturbance is explicitly represented by virtue of the Hopf transformation and tends to a travelling wave solution with the speed depending on behaviours at ±∞ of the initial disturbance.

AB - The stability of travelling wave solutions of Burgers' equation is investigated. It is shown that the solution with the initial disturbance is explicitly represented by virtue of the Hopf transformation and tends to a travelling wave solution with the speed depending on behaviours at ±∞ of the initial disturbance.

KW - Burgers' equation

KW - travelling wave solution

UR - http://www.scopus.com/inward/record.url?scp=0010564672&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0010564672&partnerID=8YFLogxK

U2 - 10.1007/BF03167037

DO - 10.1007/BF03167037

M3 - Article

AN - SCOPUS:0010564672

VL - 2

SP - 27

EP - 35

JO - Japan Journal of Industrial and Applied Mathematics

JF - Japan Journal of Industrial and Applied Mathematics

SN - 0916-7005

IS - 1

ER -