Traveling waves in compressible elastic rods

Jonatan Lenells

Research output: Contribution to journalArticlepeer-review

18 Citations (SciVal)

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.
Original languageEnglish
Pages (from-to)151-167
JournalDiscrete and Continuous Dynamical Systems. Series B
Volume6
Issue number1
Publication statusPublished - 2006

Subject classification (UKÄ)

  • Mathematics

Keywords

  • nonlinear wave equations
  • elasticity
  • traveling waves

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