Solitonic structures in a nonlinear model with interparticle anharmonic interaction

Abstract

Using a special combination of relevant parameters for a model with interparticle anharmonic interactions, we can predict the appearance of solitonic structures. The most remarkable representatives of the structures found here are the so-called drop compactons, (solitons with compact support in the shape of hard spheres), cusps, peak solitons (peakons), and defects. These analytic solutions (similar to others in their family) are obtained by considering strong restrictions on the possible values of their velocities. We analyze two types of physical boundary condition: the trivial and the so-called condensate boundary conditions. The total energy concentrated in each soliton pattern is also calculated.