Soliton solution of the Zakharov equations in quantum plasmas

TL;DR

This paper explores how quantum effects influence the formation of envelope solitons in collisionless quantum plasmas by analyzing quantum-corrected Zakharov equations and their relation to the nonlinear Schrödinger equation.

Contribution

It introduces quantum corrections into the Zakharov equations and demonstrates their impact on soliton solutions in quantum plasma environments.

Findings

Quantum effects modify the nonlinearity and dispersion balance.

Soliton solutions are derived from the quantum-corrected nonlinear Schrödinger equation.

Quantum corrections influence the stability and properties of plasma solitons.

Abstract

We investigate the existence of envelope soliton solutions in collisionless quantum plasmas, using the quantum-corrected Zakharov equations in the kinetic case, which describes the interaction between high frequency Langmuir waves and low frequency plasma density variations. We show the role played by quantum effects in the nonlinearity/dispersion balance leading to the formation of soliton solutions of the quantum-corrected nonlinear Schrodinger (QNLS) equation.