Abstract
The nonlinear propagation of ion-acoustic solitary and shock waves in a dissipative, nonplanar quantum plasma comprised of electrons, positrons, and ions are studied. A modified Korteweg-de Vries Burgers equation is derived in the limit of low frequency and long wavelength by taking into account the kinematic viscosity among the plasma constituents. It is shown that this plasma system supports the propagation of both compressive and rarefactive nonlinear waves. The effects of variation of various plasma parameters on the time evolution of nonplanar solitary waves, the profile of shock waves, and the nonlinear structure induced by the collision of solitary waves are discussed. It is found that these parameters have significant effects on the properties of nonlinear waves in cylindrical and spherical geometries, and these effects for compressive and rarefactive nonlinear waves are obviously different.
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Acknowledgements
The authors acknowledge the referees for constructive suggestions. One of the authors J.N. Han thanks Dr. S.C. Li for helpful discussions. This work was supported by the National Natural Science Foundation of P.R. China (Grant No. 11365007).
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Han, JN., Luo, JH. & Li, JX. Nonlinear electrostatic coherent structures: solitary and shock waves in a dissipative, nonplanar multi-component quantum plasma. Astrophys Space Sci 349, 305–315 (2014). https://doi.org/10.1007/s10509-013-1651-7
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DOI: https://doi.org/10.1007/s10509-013-1651-7