On the propagation of localized perturbations in media with microstructure; 84–92
Lauri Ilison, Andrus Salupere, Pearu Peterson · Proceedings of the Estonian Academy of Sciences Physics Mathematics · 2007
The propagation of solitary waves in dilatant granular materials is studied using the hierarchical Korteweg–de Vries type evolution equation. The model equation is solved numerically under localized initial conditions by the pseudospectral method. The behaviour of the solution is analysed over a wide range of material parameters (two dispersion parameters and one microstructure parameter). Five solution types are introduced. Special attention is paid to the solitonic character of solutions.