Springer Iranian Journal of Science 2731-8095 37 3 2013 08 12 Dissipative dust acoustic solitary waves in an electron depleted dusty plasma with superthermal ions 285 291 1605 10.22099/ijsts.2013.1605 EN M. Shahmansouri Arak University Journal Article 2012 03 26 Dust acoustic (DA) solitary waves are investigated in an unmagnetized dusty plasma comprising of fluid warm dust particles and kappa distributed ions. We assume the electron number density to be sufficiently depleted in this fluid model, i.e., <em><span style="font-family: Times New Roman; font-size: x-small;"><span style="font-family: Times New Roman; font-size: x-small;">n</span></span><span style="font-family: Times New Roman; font-size: xx-small;"><em><span style="font-family: Times New Roman; font-size: xx-small;">e </span></em></span></em><span style="font-family: Symbol; font-size: x-small;" lang="ZH-TW"><span style="font-family: Symbol; font-size: x-small;" lang="ZH-TW"> </span></span><em><span style="font-family: Times New Roman; font-size: x-small;"><span style="font-family: Times New Roman; font-size: x-small;">n</span></span><span style="font-family: Times New Roman; font-size: xx-small;"><em><span style="font-family: Times New Roman; font-size: xx-small;">d </span></em></span></em><span style="font-family: Times New Roman; font-size: xx-small;"><span style="font-family: Times New Roman; font-size: xx-small;">. We consider the usual </span></span><em><span style="font-family: Times New Roman; font-size: xx-small;"><em><span style="font-family: Times New Roman; font-size: xx-small;">ad hoc </span></em></span></em><span style="font-family: Times New Roman; font-size: xx-small;"><span style="font-family: Times New Roman; font-size: xx-small;">damping term, involving the damping rate </span></span><span style="font-family: Symbol; font-size: small;" lang="ZH-TW"><span style="font-family: Symbol; font-size: small;" lang="ZH-TW"> </span></span> <span style="font-family: Times New Roman; font-size: xx-small;">due to</span> the dust–neutral collisions; and derived the modified dispersion relation of DA waves. It is found that there is a   critical wave number, which should have     <em><span style="font-family: Times New Roman; font-size: x-small;"><em><span style="font-family: Times New Roman; font-size: x-small;">k </span></em></span></em><span style="font-family: Symbol; font-size: x-small;" lang="ZH-TW"><span style="font-family: Symbol; font-size: x-small;" lang="ZH-TW"> </span></span><em><span style="font-family: Times New Roman; font-size: x-small;"><span style="font-family: Times New Roman; font-size: x-small;">k</span></span><span style="font-family: Times New Roman; font-size: xx-small;"><em><span style="font-family: Times New Roman; font-size: xx-small;">crit </span></em></span></em> <span style="font-family: Times New Roman; font-size: xx-small;">, otherwise overdamping occurs. The critical value of the wave</span> number increases with     <span style="font-family: Symbol; font-size: small;" lang="ZH-TW"><span style="font-family: Symbol; font-size: small;" lang="ZH-TW"> </span></span><span style="font-family: Times New Roman; font-size: xx-small;"><span style="font-family: Times New Roman; font-size: xx-small;">, while it decreases with</span></span><span style="font-family: Symbol; font-size: small;" lang="ZH-TW"><span style="font-family: Symbol; font-size: small;" lang="ZH-TW"> </span></span> <span style="font-family: Times New Roman; font-size: xx-small;">. Also, a modified Korteweg-de-Vries (mKdV) equation was</span> derived for description of DA solitary wave. We found that the amplitude, width and velocity of DA solitary   waves are modified in the presence of damping term. As the amplitude and velocity of solitary DA wave decreases   with     <span style="font-family: Symbol; font-size: small;" lang="ZH-TW"><span style="font-family: Symbol; font-size: small;" lang="ZH-TW"> </span></span> <span style="font-family: Times New Roman; font-size: xx-small;">, the width of soliton spreads. Also, it is found that the polarity of soliton changes from positive to negative</span> at special value of     <span style="font-family: Symbol; font-size: small;" lang="ZH-TW"><span style="font-family: Symbol; font-size: small;" lang="ZH-TW"> </span></span> <span style="font-family: Times New Roman; font-size: xx-small;">.</span>   https://ijsts.shirazu.ac.ir/article_1605_5f1132e6ce2cb4c75096e3ab2024134e.pdf