Nonlinear Wave Solutions of Cylindrical KdV-Burgers Equation in Nonextensive Plasmas for Astrophysical Objects |
| U.M. Abdelsalama, b, M.S. Zobaerc, d, H. Aktherd, M.G.M. Ghazalb, e, M.M. Faresb
aDepartment of Mathematics, Faculty of Science, Fayoum University, Egypt bDepartment of Mathematics, Rustaq College of Education, Ministry of Higher Education, Rustaq 329, Oman cThe University of Texas Health Science Center at Houston, Houston, USA dDepartment of Physics, Bangladesh University of Textiles, Dhaka, Bangladesh eDepartment of Mathematics, Faculty of Science, Minia University, Minia, Egypt |
| Received: September 19, 2019; revised version December 24, 2019; in final form January 31, 2020 |
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| In this paper, the time-dependent cylindrical Korteweg-de Vries-Burgers equation has been derived using hydrodynamic equations with the Poisson equation for nonextensive ultracold neutral plasmas containing ions and nonextensive electrons, various kinds of analytical solutions have been obtained for cylindrical Korteweg-de Vries-Burgers equation using extended homogeneous balance method. Numerical analysis for the nonlinear shock wave solution revealed that its profile is significantly affected by nonextensive and the ion temperature. This theoretical study could provide a better frame-idea about the laboratory plasma systems as observed in the space for the astrophysical compact objects. This study also shows that further deep investigations are needed in future for better understanding of the nonlinear wave propagation for astrophysical compact objects in space. |
DOI:10.12693/APhysPolA.137.1061 topics: cKdV-Burgers equation, extended homogeneous balance method, ultracold neutral (UCN) plasmas |