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Two kinds of upper hybrid soliton bistability
Institution:1. Department of Physics, Tokyo University of Science, Shinjuku, Tokyo, 162-8601, Japan;2. Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS), RIKEN, Wako, Saitama 351-0198, Japan;3. Frankfurt Institute for Advanced Studies, J.W. Goethe University, 60438 Frankfurt am Main, Germany;4. National Research Center Kurchatov Institute, Moscow 123182, Russia;1. CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China;2. University of Chinese Academy of Sciences, Beijing, 100190, China;3. School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China;4. International Centre for Theoretical Physics Asia-Pacific, Beijing/Hangzhou, China;1. Radiation and Matter Physics Laboratory, Matter Sciences Department, Mohamed-Cherif Messaadia University, P.O. Box 1553, Souk-Ahras, 41000, Algeria;2. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, Algeria;3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People’s Republic of China;4. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA;5. Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University, Riyadh 13318, Saudi Arabia;6. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;7. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar
Abstract:The basic model employed to describe nonlinear upper hybrid wave structures is the generalized nonlinear Schrödinger equation including second and fourth order dispersive effects as well as local and nonlocal nonlinearity. For two kinds of such an equation the existence of two stable solitons with the same plasmon number but with different spatial scales and amplitudes is shown as two qualitatively different kinds of upper hybrid soliton bistability. An integral relation for an arbitrary nonlinear upper hybrid wave packet evolution is derived taking into account higher order dispersive effects. Necessary conditions for soliton formation from arbitrary wave packets and the impossibility of wave packet collapse are demonstrated taking into account higher order dispersive effects.
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