Traveling waves in compressible elastic rods
(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:
https://lup.lub.lu.se/record/693926
- author
- Lenells, Jonatan LU
- organization
- publishing date
- 2006
- 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
- 2022-04-13 20:33:31
@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}},
keywords = {{nonlinear wave equations; elasticity; traveling waves}},
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}},
}