Control of the dynamics of the kink of the modified sine-Gordon equation by the external exposure with varying parameters
| Autor: | L. V. Yakushevich, Farit Kabirovich Zakiryanov |
|---|---|
| Jazyk: | ruština |
| Rok vydání: | 2013 |
| Předmět: |
Physics
sine-Gordon equation kink lcsh:T57-57.97 lcsh:Mathematics Dynamics (mechanics) Mathematical analysis lcsh:QA1-939 Computer Science Applications Computational Theory and Mathematics Modeling and Simulation lcsh:Applied mathematics. Quantitative methods soliton nonlinear DNA dynamics control of the movement of the kink |
| Zdroj: | Компьютерные исследования и моделирование, Vol 5, Iss 5, Pp 821-834 (2013) |
| ISSN: | 2077-6853 2076-7633 |
| Popis: | The paper presents results that confirm the ability to control the movement of the kink of the modified sine-Gordon equation with variable external force parameters. Three types of external influences have been considered: permanent action, periodic action with a constant frequency and a frequency-modulated periodic exposure. The dependences of the position and velocity of the kink on time for various values of the parameters of external influence were obtained using the method of McLaughlin and Scott. It is shown that by changing the settings, one can adjust the velocity and direction of movement of the kink. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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