Integrable motion of two interacting curves, spin systems and the Manakov system
| Autor: | Ratbay Myrzakulov, Akbota Myrzakul |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Physics
Physics and Astronomy (miscellaneous) Integrable system Nonlinear Sciences - Exactly Solvable and Integrable Systems Spin system Motion (geometry) FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas Nonlinear system 0103 physical sciences Manakov system Soliton Exactly Solvable and Integrable Systems (nlin.SI) 010306 general physics Reduction (mathematics) Mathematical physics Spin-½ |
| Popis: | Integrable spin systems are an important subclass of integrable (soliton) nonlinear equations. They play important role in physics and mathematics. At present, many integrable spin systems were found and studied. They are related with the motion of 3-dimensional curves. In this paper, we consider a model of two moving interacting curves. Next, we find its integrable reduction related with some integrable coupled spin system. Then we show that this integrable coupled spin system is equivalent to the famous Manakov system. 12 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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