<p>The propagation characteristics of dust-ion-acoustic (DIA) solitary waves in an unmagnetized dusty plasma composed of negative mobile dusts, ions, and Kaniadakis distributed electrons are theoretically investigated. Employing the well-known reductive perturbation technique, both the Korteweg–de Vries (KdV) and modified Korteweg–de Vries (mKdV) equations are derived to examine the influence of dust-to-ion density ratio <InlineEquation ID="IEq1"> <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>, dust charge number <InlineEquation ID="IEq2"> <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>, Kaniadakis deformation parameter <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$(\kappa )$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>κ</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, and the initial streaming speed of ions <InlineEquation ID="IEq4"> <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 dusts <InlineEquation ID="IEq5"> <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> on the dynamics of DIA solitary waves. It is found that there is a non-existence region of KdV-DIA solitons for some initial streaming speed of dust, as well as dust charge number. Both compressive and rarefactive small-amplitude KdV-DIA solitons, and only compressive mKdV-DIA solitons with distinct characteristics are observed. Moreover, for the same set of plasma parameters, the mKdV-DIA solitons exhibit higher amplitudes than the corresponding KdV-DIA solitons. For compressive solitons, the amplitude increases with increasing <InlineEquation ID="IEq6"> <EquationSource Format="TEX">$Z_d$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>Z</mi> <mi>d</mi> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq7"> <EquationSource Format="TEX">$\sigma $</EquationSource> <EquationSource Format="MATHML"><math> <mi>σ</mi> </math></EquationSource> </InlineEquation>. The results also indicate that the deformation parameter <InlineEquation ID="IEq8"> <EquationSource Format="TEX">$\kappa $</EquationSource> <EquationSource Format="MATHML"><math> <mi>κ</mi> </math></EquationSource> </InlineEquation> has a significant influence on mKdV-DIA solitons, while it does not affect KdV-DIA solitons. In addition, the dependence of the DIA soliton width on various plasma parameters is also investigated.</p>

Propagation of dust-ion-acoustic solitary waves in an unmagnetized dusty plasma with Kaniadakis distributed electrons

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发表日期：

2026年5月1日

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Tirthanath Doley,
Samiran Das

摘要

The propagation characteristics of dust-ion-acoustic (DIA) solitary waves in an unmagnetized dusty plasma composed of negative mobile dusts, ions, and Kaniadakis distributed electrons are theoretically investigated. Employing the well-known reductive perturbation technique, both the Korteweg–de Vries (KdV) and modified Korteweg–de Vries (mKdV) equations are derived to examine the influence of dust-to-ion density ratio $(\sigma )$ $(σ)$ , dust charge number $(Z_d)$ $(Z_{d})$ , Kaniadakis deformation parameter $(\kappa )$ $(κ)$ , and the initial streaming speed of ions $(u_{i0})$ $(u_{i 0})$ and dusts $(u_{d0})$ $(u_{d 0})$ on the dynamics of DIA solitary waves. It is found that there is a non-existence region of KdV-DIA solitons for some initial streaming speed of dust, as well as dust charge number. Both compressive and rarefactive small-amplitude KdV-DIA solitons, and only compressive mKdV-DIA solitons with distinct characteristics are observed. Moreover, for the same set of plasma parameters, the mKdV-DIA solitons exhibit higher amplitudes than the corresponding KdV-DIA solitons. For compressive solitons, the amplitude increases with increasing $Z_d$ $Z_{d}$ and $\sigma $ $σ$ . The results also indicate that the deformation parameter $\kappa $ $κ$ has a significant influence on mKdV-DIA solitons, while it does not affect KdV-DIA solitons. In addition, the dependence of the DIA soliton width on various plasma parameters is also investigated.