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.
|Journal||Discrete and Continuous Dynamical Systems. Series B|
|Publication status||Published - 2006|
Subject classification (UKÄ)
- nonlinear wave equations
- traveling waves