On the non-local hydrodynamic-type system and its soliton-like solution

TL;DR

This paper investigates the conditions under which the non-local hydrodynamic model of structured media admits periodic and soliton-like traveling wave solutions, enhancing understanding of wave phenomena in such systems.

Contribution

It identifies specific conditions that ensure the existence of these wave solutions in the non-local hydrodynamic model, providing new insights into wave behavior in structured media.

Findings

Conditions for existence of soliton-like solutions established

Periodic solutions characterized under certain parameters

Enhanced understanding of wave dynamics in non-local media

Abstract

We analyze the conditions, which guarantee the existence of periodic and soliton-like traveling wave solutions in the non-local hydrodynamic model of structured media.