Higher-order nonlinear electron-acoustic solitary excitations in partially degenerate quantum electron-ion plasmas

TL;DR

This paper investigates the propagation of nonlinear electron-acoustic solitary waves in partially degenerate quantum plasmas using quantum-hydrodynamics, revealing how plasma parameters determine wave types.

Contribution

It introduces a detailed analysis of higher-order nonlinear solitary excitations in quantum plasmas employing multiple scales and Kodama-Taniuti techniques.

Findings

Solitary wave type depends on critical plasma parameters.

Bright and dark solitary excitations are distinguished by plasma conditions.

The study advances understanding of nonlinear wave dynamics in quantum plasmas.

Abstract

Propagation of dressed solitary excitations are studied in a partially degenerate quantum plasma in the framework of quantum-hydrodynamics (QHD) model using multiple scales technique. The evolution equation together with a linear inhomogeneous differential equation is solved using Kodama-Taniuti renormalizing technique. It is shown that the type of solitary excitations (bright or dark) is defined by two critical plasma parameter values.