The present multicomponent dusty plasma of positive ions, negative dusts, and nonextensive electrons with variable pressure, dust ion-acoustic (DIA) solitary waves are investigated by Korteweg–de Vries (KdV) and modified Korteweg–de Vries (mKdV) equations, derived by the reductive perturbation technique (RPT). In this new investigation, we observed that both amplitude and width of the DIA solitary waves are significantly influenced by the nonextensive parameter (q). Interestingly, an increase in the nonextensive parameter (q) results in a linear rise in both amplitude and width of DIA solitons. Furthermore, the analysis shows that the mKdV solitons exhibit considerably higher amplitudes compared to the KdV solitons. In this theoretical investigation, for some pairs of streaming speed of ions and dusts, only compressive solitons are seen, whereas for some other pairs, rarefactive KdV solitons with distinct characteristics are observed. Also, we investigated the critical roles of ion-to-electron temperature ratio <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$(\alpha )$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>α</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, dust-to-ion density ratio <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$(\sigma )$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>σ</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, initial streaming speeds of ions <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$(u_{i0})$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <msub> <mi>u</mi> <mrow> <mi>i</mi> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> and dust particles <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$(u_{d0})$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <msub> <mi>u</mi> <mrow> <mi>d</mi> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, and the number of dust charges <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$(Z_d)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <msub> <mi>Z</mi> <mi>d</mi> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, in the formation of DIA solitons.

Nonlinear propagation of dust ion-acoustic solitary waves in a dusty plasma with q-nonextensive electrons

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发表日期：

2025年10月1日

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Tirthanath Doley,
Samiran Das

摘要

The present multicomponent dusty plasma of positive ions, negative dusts, and nonextensive electrons with variable pressure, dust ion-acoustic (DIA) solitary waves are investigated by Korteweg–de Vries (KdV) and modified Korteweg–de Vries (mKdV) equations, derived by the reductive perturbation technique (RPT). In this new investigation, we observed that both amplitude and width of the DIA solitary waves are significantly influenced by the nonextensive parameter (q). Interestingly, an increase in the nonextensive parameter (q) results in a linear rise in both amplitude and width of DIA solitons. Furthermore, the analysis shows that the mKdV solitons exhibit considerably higher amplitudes compared to the KdV solitons. In this theoretical investigation, for some pairs of streaming speed of ions and dusts, only compressive solitons are seen, whereas for some other pairs, rarefactive KdV solitons with distinct characteristics are observed. Also, we investigated the critical roles of ion-to-electron temperature ratio $(\alpha )$ $(α)$ , dust-to-ion density ratio $(\sigma )$ $(σ)$ , initial streaming speeds of ions $(u_{i0})$ $(u_{i 0})$ and dust particles $(u_{d0})$ $(u_{d 0})$ , and the number of dust charges $(Z_d)$ $(Z_{d})$ , in the formation of DIA solitons.