Higher order solution of the dust ion acoustic solitons in a warm dusty plasma with vortex-like electron distribution |
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| Institution: | 1. Department of Physics, Faculty of Science-Damietta, Mansoura University, Egypt;2. Department of Physics, Faculty of Education-Port Said, Suez Canal University, Egypt;3. Department of Physics, Faculty of Science-Mansoura, Mansoura University, Egypt;4. Faculty of Science-Mansoura, Mansoura University, Egypt;1. CEMS, RIKEN, 2-1 Hirosawa, Wako-shi, Saitama 351-0198, Japan;2. Nonlinear Physics Centre, RSPE, The Australian National University, Canberra, ACT 00200, Australia;3. CFTP, Instituto Superior Técnico, Universidade de Lisboa, Lisbon 1049-001, Portugal;4. EMAT, University of Antwerp, Groenenborgerlaan 171, 2020 Antwerp, Belgium;5. School of Physics and Astronomy, Monash University, VIC 3800, Australia;6. The Institute of Optics, University of Rochester, Rochester, NY 14627, USA;7. TU Wien, University Service Centre for Electron Microscopy, Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria;8. Physics Department, University of Michigan, Ann Arbor, MI 48109-1040, USA;1. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR China;2. Department of Mathematics, University of Education, Multan Campus, Pakistan;3. Mathematics Department, Faculty of Science, Taibah University, Al-Ula, Saudi Arabia;4. Mathematics Department, Faculty of Science, Beni-Suef University, Egypt;1. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt;2. Department of Mathematics, Faculty of Science, Federal University Dutse, Jigawa State, Nigeria;3. Mathematics Department, Faculty of Science, Menoufia University, Shebein El-Koom, Egypt |
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| Abstract: | The ratios of dust to free electron and free to trapped electron temperatures are examined in warm dusty plasmas with vortex-like electron distribution through the derivation of a modified Korteweg–de Vries (MKdV) equation using a reductive perturbation theory. As the wave amplitude increases, the width and velocity of the soliton deviate from the prediction of the MKdV equation, i.e., the breakdown of the MKdV approximation. To describe the soliton of larger amplitude, the MKdV equation with the fifth-order dispersion term is employed and its higher-order solutions are obtained. |
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