Quasi-stationary solitons for Langmuir waves in plasmas |
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| Authors: | Anjan Biswas |
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| Institution: | 1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA;2. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People''s Republic of China;4. Gulf University, Communication and Networks Engineering, Bahrain;5. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA;2. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA;2. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey;1. Department of Mathematics, Lamar University, Beaumont, TX 77710, USA;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA;3. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;4. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;5. Department of Mathematics, Howard University, Washington, DC 20059, USA;6. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People''s Republic of China;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey;5. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157 Rudsar-Vajargah, Iran;6. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People''s Republic of China;7. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar;1. Al-Rafidain University College, Baghdad, 00964, Iraq;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL-35762, USA;3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia;4. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria, 0008, South Africa;5. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, PR China;6. Science Program, Texas A&M University at Qatar, PO Box-23874, Doha, Qatar |
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| Abstract: | The multiple-scale perturbation analysis is used to study the perturbed nonlinear Schrödinger’s equation, that describes the Langmuir waves in plasmas. The perturbation terms include the non-local term due to nonlinear Landau damping. The WKB type ansatz is used to define the phase of the soliton that captures the corrections to the pulse where the standard soliton perturbation theory fails. |
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