On solitons in media modelled by the hierarchical KdV equation

摘要

In the present paper, formation of solitons in microstructured continuum, modelled by a hierarchical Korteweg-de Vries equation, is studied. The model equation is integrated numerically making use of the discrete Fourier transform-based pseudospectral method under different initial conditions. Main attention is paid to the formation of hidden solitons and applicability of the discrete spectral analysis.