Soliton solution of the Zakharov equations in quantum plasmas

2013/09/10 by F. Sayed, Fatema Sayed, S. V. Vladimirov +6
Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #Nonlinear Waves and Solitons #Optical Network Technologies #Plasma Physics (physics.plasm-ph) #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1309.2395

arxiv created 2013/09/10 · openalex publication_date 2013/09/10 · arxiv updated 2013/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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