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Traveling waves in compressible elastic rods

Lenells, Jonatan LU (2006) In Discrete and Continuous Dynamical Systems. Series B 6(1). p.151-167
Abstract
We determine all weak traveling wave solutions of a model for nonlinear dispersive waves in cylindrical compressible hyperelastic rods. Besides the previously known smooth, peaked, and cusped solutions, the equation is shown to admit compactons, stumpons, and fractal-like waves.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
nonlinear wave equations, elasticity, traveling waves
in
Discrete and Continuous Dynamical Systems. Series B
volume
6
issue
1
pages
151 - 167
publisher
Amer Inst Mathematical Sciences
external identifiers
  • wos:000233123500008
  • scopus:33644539555
ISSN
1553-524X
language
English
LU publication?
yes
id
6022e66d-fcd3-4411-af89-4b7cdc724681 (old id 693926)
alternative location
http://aimsciences.org/journals/pdfs.jsp?paperID=1351&mode=abstract
http://www.math.ucsb.edu/~jonatan/Papers/2006/gamma.pdf
date added to LUP
2016-04-01 12:33:12
date last changed
2021-09-15 03:59:33
@article{6022e66d-fcd3-4411-af89-4b7cdc724681,
  abstract     = {We determine all weak traveling wave solutions of a model for nonlinear dispersive waves in cylindrical compressible hyperelastic rods. Besides the previously known smooth, peaked, and cusped solutions, the equation is shown to admit compactons, stumpons, and fractal-like waves.},
  author       = {Lenells, Jonatan},
  issn         = {1553-524X},
  language     = {eng},
  number       = {1},
  pages        = {151--167},
  publisher    = {Amer Inst Mathematical Sciences},
  series       = {Discrete and Continuous Dynamical Systems. Series B},
  title        = {Traveling waves in compressible elastic rods},
  url          = {http://aimsciences.org/journals/pdfs.jsp?paperID=1351&mode=abstract},
  volume       = {6},
  year         = {2006},
}