K-P-Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity |
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| Authors: | A N Dev M K Deka J Sarma D Saikia N C Adhikary |
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| Affiliation: | 1.Department of Mathematics, Siksha ‘O' Anusandhan University, Khandagiri, Bhubaneswar-751030, Odisha, India;2.Department of Applied Sciences, Institute of Science and Technology, Gauhati University, Guwahati 781014, Assam, India;3.Department of Mathematics, R G Baruah College, Guwahati-781025, Assam, India;4.Physical Sciences Division, Institute of Advanced Study in Science and Technology, Vigyan Path, Paschim Boragaon, Garchuk, Guwahati-781035, Assam, India |
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| Abstract: | The stationary solution is obtained for the K-P-Burgers equation that describes the nonlinear propagations of dust ion acoustic waves in a multi-component, collisionless, un-magnetized relativistic dusty plasma consisting of electrons, positive and negative ions in the presence of charged massive dust grains. Here, the Kadomtsev-Petviashvili (K-P) equation, three-dimensional (3D) Burgers equation, and K-P-Burgers equations are derived by using the reductive perturbation method including the effects of viscosity of plasma fluid, thermal energy, ion density, and ion temperature on the structure of a dust ion acoustic shock wave (DIASW). The K-P equation predictes the existences of stationary small amplitude solitary wave, whereas the K-P-Burgers equation in the weakly relativistic regime describes the evolution of shock-like structures in such a multi-ion dusty plasma. |
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| Keywords: | K-P-Burgers equation negative ion relativistic plasma reductive perturbation method |
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