Perturbation of topological solitons due to sine-Gordon equation and its type |
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| Authors: | Anne L. Fabian Russell Kohl Anjan Biswas |
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| Affiliation: | 1. Department of Mathematics, Delaware State University, Dover, DE 19901-2277, USA;2. Center for Research and Education in Optical Sciences and Applications, Department of Applied Mathematics and Theoretical Physics, Delaware State University, 1200 N. DuPont Highway, Dover, DE 19901-2277, USA;1. Dipartimento di Fisica e Astronomia, Alma Mater Studiorum Università di Bologna, Viale Carlo Berti Pichat 8, 40127 Bologna, Italy;2. Dipartimento di Scienze della Terra e Geoambientali, Università di Bari, Via Edoardo Orabona 4, 70125 Bari, Italy;1. Dipartimento di Fisica e Astronomia, Alma Mater Studiorum Università di Bologna, Viale Carlo Berti Pichat 8, 40127 Bologna, Italy;2. Dipartimento di Scienze di Base e Fondamenti, Università di Urbino, Via Santa Chiara 27, 61029 Urbino, Italy;1. Dipartimento di Matematica e Informatica “U. Dini”, Università di Firenze, Italy;2. Dipartimento di Matematica, Università di Bari, Italy;1. Université de Toulon, CNRS/INSU, IRD, MIO, UM 110, 83957 La Garde, France;2. Aix Marseille Université, CNRS/INSU, IRD, MIO, UM 110, 13288 Marseille, France;3. Institute of Applied Physics, Nizhny Novgorod, Russia;4. Nizhny Novgorod, State Technical University, Nizhny Novgorod, Russia;5. National Research University, Higher School of Economics, Russia;6. Institute for Analysis, Johannes Kepler University, Linz, Austria |
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| Abstract: | This paper studies the adiabatic dynamics of topological solitons in presence of perturbation terms. The solitons due to sine-Gordon equation, double sine-Gordon equation, sine–cosine Gordon equation and double sine–cosine Gordon equations are studied, in this paper. The adiabatic variation of soliton velocity is obtained in this paper by soliton perturbation theory. |
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