Bifurcations of dust ion acoustic travelling waves in a magnetized quantum dusty plasma |
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Authors: | Utpal Kumar Samanta Asit Saha Prasanta Chatterjee |
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Institution: | 1. Department of Mathematics, Bankura Christian College, Bankura, 722101, West Bengal, India 2. Department of Mathematics, Sikkim Manipal Institute of Technology, Majitar, Rangpo, East-Sikkim, 737136, India 3. Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan, 731235, India
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Abstract: | Bifurcation behavior of nonlinear dust ion acoustic travelling waves in a magnetized quantum dusty plasma has been studied. Applying the reductive perturbation technique (RPT), we have derived a Kadomtsev-Petviashili (KP) equation for dust ion acoustic waves (DIAWs) in a magnetized quantum dusty plasma. By using the bifurcation theory of planar dynamical systems to the KP equation, we have proved that our model has solitary wave solutions and periodic travelling wave solutions. We have derived two exact explicit solutions of the above travelling waves depending on different parameters. |
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