Propagation and oblique collision of electron-acoustic solitons in two-electron-populated quantum plasmas

TL;DR

This paper investigates how electron-acoustic solitons propagate and collide obliquely in a degenerate quantum plasma with two electron populations, revealing how quantum parameters influence soliton types and phase-shifts.

Contribution

It introduces a quantum hydrodynamics model to analyze oblique collisions of electron-acoustic solitons, highlighting the role of a critical quantum diffraction parameter in soliton behavior.

Findings

Existence of both compressive and rarefactive solitons depending on quantum parameters.

Collision phase-shifts can be positive or negative based on plasma conditions.

The type and phase-shift of solitons depend on the collision angle and quantum diffraction parameter.

Abstract

Oblique interaction of small- but finite-amplitude KdV-type electron-acoustic solitary excitations is examined in an unmagnetized two-electron-populated degenerate quantum electron-ion plasma in the framework of quantum hydrodynamics model using the extended Poincar\'{e}-Lighthill-Kuo (PLK) perturbation method. Critical plasma parameter is found to distinguish the types of solitons and their interaction phase-shifts. It is shown that, depending on the critical quantum diffraction parameter $H_{cr}$, both compressive and rarefactive solitary excitations may exist in this plasma and their collision phase-shifts can be either positive or negative for the whole range of the collision angle $0<\theta<\pi$.