Exact propagating nonlinear singular disturbances in strongly coupled dusty plasmas

TL;DR

This paper analytically investigates nonlinear singular disturbances in strongly coupled dusty plasmas using the GHD model, revealing shock structures and cusp-like solutions that could be observed experimentally.

Contribution

It introduces the existence of nonlinear singular solutions in strongly coupled dusty plasmas within the GHD framework, expanding understanding beyond soliton solutions.

Findings

Galilean invariant GHD model lacks soliton solutions.

Supports shock structures of zero strength and cusp-like propagating solutions.

Potential for experimental detection of these nonlinear entities.

Abstract

The nonlinear longitudinal response of a strongly coupled dusty plasma system is analytically investigated using the Generalized Hydrodynamic (GHD) model. It is shown that the Galilean invariant form of the model does not have soliton solutions, but can support a variety of nonlinear singular (yet conservative) solutions like shock structures of zero strength and propagating solutions with cusp like singularities. These novel entities should be detectable in numerical simulations and experiments studying large amplitude longitudinal excitations in such systems.