Ion acoustic solitary wave solutions of two‐dimensional nonlinear Kadomtsev–Petviashvili–Burgers equation in quantum plasma |
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| Authors: | Aly R. Seadawy |
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| Affiliation: | 1. Mathematics Department, Faculty of science, Taibah University, Al‐Ula, Saudi Arabia;2. Mathematics Department, Faculty of Science, Beni‐Suef University, Beni Suef, Egypt |
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| Abstract: | Propagation of two‐dimensional nonlinear ion‐acoustic solitary waves and shocks in a dissipative quantum plasma is analyzed. By applying the reductive perturbation theory, the two‐dimensional ion acoustic solitary waves in a dissipative quantum plasma lead to a nonlinear Kadomtsev–Petviashvili–Burgers (KPB) equation. By implementing extended direct algebraic mapping, extended sech‐tanh, and extended direct algebraic sech methods, the ion solitary traveling wave solutions of the two‐dimensional nonlinear KPB equation are investigated. An analytical as well as numerical solution of the two‐dimensional nonlinear KPB equation is obtained and analyzed with the effects of external electric field and ion pressure. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | quantum plasma ion acoustic solitary waves Kadomtsev– Petviashvili– Burgers equation mathematical methods |
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