Abstract
The formation and propagation of dust-acoustic (DA) solitary and rogue waves are studied in a non-relativistic degenerate Thomas-Fermi thermal dusty plasma incorporating transverse velocity perturbation effects. The electrons and ions are described by the Thomas-Fermi density distributions, whereas the dust grains are taken as dynamic and classical. By using the reductive perturbation technique, the cylindrical Kadomtsev-Petviashvili (CKP) equation is derived, which is then transformed into a Korteweg-deVries (KdV) equation by using appropriate variable transformations. The latter admits a solitary wave solution. However, when the carrier waves frequency is much smaller than the dust plasma frequency, the DA waves evolve into the nonlinear modulation instability, generating modulated wave packets in the form of Rogue waves. For the study of DA-rogue waves, the KdV equation is transformed into a self-focusing nonlinear Schrödinger equation. The variation of dust temperature and the electron density affects the nonlinearity and dispersion coefficients which suppress the amplitudes of the DA solitary and rogue waves. The present results aim to describe the nonlinear electrostatic excitations in astrophysical degenerate dense plasma.
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Acknowledgements
One of the authors, M. Irfan is thankful to the University of Malakand, Chakdara Dir (Lower) for granting the study leave to pursue his Ph.D. studies at Quaid-i-Azam University, Islamabad. This work is partially supported by the Quaid-i-Azam Research Fund (URF-Project 2013–2014).
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Irfan, M., Ali, S. & Mirza, A.M. Dust-acoustic solitary and rogue waves in a Thomas-Fermi degenerate dusty plasma. Astrophys Space Sci 353, 515–523 (2014). https://doi.org/10.1007/s10509-014-2079-4
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DOI: https://doi.org/10.1007/s10509-014-2079-4