Abstract
In the present investigation, the effect of polarization force on small amplitude dust kinetic Alfvén solitary waves (DKASWs) and dust kinetic Alfvén rogue waves (DKARWs) has been studied in a dusty plasma, comprising of negatively charged dust fluid, and q-nonextensive distributed electrons and positive ions. From the solution of Korteweg–de Vries (KdV) equation, small amplitude DKASWs have been studied. The non-linear Schrödinger equation (NLSE) has been derived from the KdV equation to study the DKARWs from its rational solution. Numerical analysis of solution of KdV equation reveals the existence of positive potential DKASWs. The combined effects of polarization force, nonextensivity of ions, plasma beta, angle of propagation of the wave with respect to the magnetic field and the ratio of number density of electrons to the number density of ions have been analyzed on the characteristics of DKASWs and DKARWs.
| Original language | English |
|---|---|
| Pages (from-to) | 1228-1240 |
| Number of pages | 13 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 503 |
| DOIs | |
| State | Published - Aug 1 2018 |
| Externally published | Yes |
Funding
This work was supported by DRS-II (SAP) No. F.530/17/DRS-II/2015(SAP-I) UGC , New Delhi. M. S. acknowledges the support provided by University Grants Commission, New Delhi under Rajiv Gandhi National Fellowship.
Keywords
- Dust kinetic Alfvén rogue waves
- Dust kinetic Alfvén solitary waves
- Korteweg–de Vries (KdV) equation
- Modulation instability
- Nonlinear Schrödinger equation
- Polarization force
- q-nonextensive distribution
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