The current study explores a fascinating plasma system in which ion-acoustic cnoidal waves arise and their dynamics is shaped by the interaction of positron, thermal and quantum processes. Degenerate electrons, positrons and warm ions in an unmagnetised environment make up the present plasma system. The Korteweg–de Vries (KdV) equation is developed using the reductive perturbation technique and modified for periodic waves by applying suitable boundary conditions. A preference for compressive ion-acoustic cnoidal waves is shown by the system’s support for hump-shaped (positive potential) periodic structures. Wave amplitude, frequency and wavelength correlations are shown by periodic solutions. The influence of several variables, including the ion temperature <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$\sigma _{i}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mi>i</mi> </msub> </math></EquationSource> </InlineEquation>, positron temperature <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$\sigma _{p}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation>, positron density p and quantum parameter H, is examined in this work. The effects of these variables on the dispersion and nonlinear behaviour of the plasma system are investigated. When positron density (p), positron temperature (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">$\sigma _{p}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation>), thermal effects through ion temperature (<InlineEquation ID="IEq4"> <EquationSource Format="TEX">$\sigma _{i}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mi>i</mi> </msub> </math></EquationSource> </InlineEquation>) and quantum effects (H) are included, the amplitude of the cnoidal wave increases. It has been observed that the amplitude of moving waves increases both their frequency and wavelength. This implies that in this plasma structure, higher frequencies and longer wavelengths are linked to waves with bigger amplitudes.

Role of degenerate electrons and positrons to cnoidal structures in an unmagnetised electron–positron–ion plasma

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发表日期：

2025年12月8日

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Parveen Bala,
Tarsem Singh Gill

摘要

The current study explores a fascinating plasma system in which ion-acoustic cnoidal waves arise and their dynamics is shaped by the interaction of positron, thermal and quantum processes. Degenerate electrons, positrons and warm ions in an unmagnetised environment make up the present plasma system. The Korteweg–de Vries (KdV) equation is developed using the reductive perturbation technique and modified for periodic waves by applying suitable boundary conditions. A preference for compressive ion-acoustic cnoidal waves is shown by the system’s support for hump-shaped (positive potential) periodic structures. Wave amplitude, frequency and wavelength correlations are shown by periodic solutions. The influence of several variables, including the ion temperature $\sigma _{i}$ $σ_{i}$ , positron temperature $\sigma _{p}$ $σ_{p}$ , positron density p and quantum parameter H, is examined in this work. The effects of these variables on the dispersion and nonlinear behaviour of the plasma system are investigated. When positron density (p), positron temperature ( $\sigma _{p}$ $σ_{p}$ ), thermal effects through ion temperature ( $\sigma _{i}$ $σ_{i}$ ) and quantum effects (H) are included, the amplitude of the cnoidal wave increases. It has been observed that the amplitude of moving waves increases both their frequency and wavelength. This implies that in this plasma structure, higher frequencies and longer wavelengths are linked to waves with bigger amplitudes.