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• W2012518594 abstract "We present an investigation for the generation of a dust-acoustic rogue wave in a dusty plasma composed of negatively charged dust grains, as well as nonextensive electrons and ions. For this purpose, the reductive perturbation technique is used to obtain a nonlinear Schrodinger equation. The critical wave-number threshold ${k}_{c}$, which indicates where the modulational instability sets in, has been determined precisely for various regimes. Two different behaviors of ${k}_{c}$ against the nonextensive parameter $q$ are found. For small ${k}_{c}$, it is found that increasing $q$ would lead to an increase of ${k}_{c}$ until $q$ approaches a certain value ${q}_{c}$, then further increase of $q$ beyond ${q}_{c}$ decreases the value of ${k}_{c}$. For large ${k}_{c}$, the critical wave-number threshold ${k}_{c}$ is always increasing with $q$. Within the modulational instability region, a random perturbation of the amplitude grows and thus creates dust-acoustic rogue waves. In order to show that the characteristics of the rogue waves are influenced by the plasma parameters, the relevant numerical analysis of the appropriate nonlinear solution is presented. The nonlinear structure, as reported here, could be useful for controlling and maximizing highly energetic pulses in dusty plasmas." @default.
• W2012518594 created "2016-06-24" @default.
• W2012518594 creator A5007811111 @default.
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• W2012518594 creator A5074483732 @default.
• W2012518594 date "2011-12-14" @default.
• W2012518594 modified "2023-09-27" @default.
• W2012518594 title "Dust-acoustic rogue waves in a nonextensive plasma" @default.
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• W2012518594 doi "https://doi.org/10.1103/physreve.84.066402" @default.
• W2012518594 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/22304203" @default.
• W2012518594 hasPublicationYear "2011" @default.
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