Traveling waves in compressible elastic rods

Jonatan Lenells

Traveling waves in compressible elastic rods

Jonatan Lenells

Matematik (naturvetenskapliga fakulteten)

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

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.

Originalspråk	engelska
Sidor (från-till)	151-167
Tidskrift	Discrete and Continuous Dynamical Systems. Series B
Volym	6
Nummer	1
Status	Published - 2006

Ämnesklassifikation (UKÄ)

Matematik

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title = "Traveling waves in compressible elastic rods",

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.",

keywords = "nonlinear wave equations, elasticity, traveling waves",

author = "Jonatan Lenells",

year = "2006",

language = "English",

volume = "6",

pages = "151--167",

journal = "Discrete and Continuous Dynamical Systems. Series B",

issn = "1553-524X",

publisher = "Amer Inst Mathematical Sciences",

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AU - Lenells, Jonatan

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N2 - 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.

AB - 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.

KW - nonlinear wave equations

KW - elasticity

KW - traveling waves

UR - https://www.scopus.com/pages/publications/33644539555

M3 - Article

SN - 1553-524X

VL - 6

SP - 151

EP - 167

JO - Discrete and Continuous Dynamical Systems. Series B

JF - Discrete and Continuous Dynamical Systems. Series B

IS - 1

ER -

Traveling waves in compressible elastic rods

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