Soliton dynamics and elastic collisions in a spin chain with an external time-dependent magnetic field |
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| Authors: | Hai-Qiang Zhang Bo Tian Xing Lü Xiang-Hua Meng |
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| Institution: | aSchool of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China;bState Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;cKey Laboratory of Information Photonics and Optical Communications (BUPT), Ministry of Education, P.O. Box 128, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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| Abstract: | In this paper, we investigate the nonlinear dynamics of a Heisenberg spin chain with an external time-oscillating magnetic field. Such dynamics can be described by a Landau–Lifshitz-type equation. We apply the Darboux transformation method to the linear eigenvalue problem associated with this equation, and obtain the multi-soliton solution with a purely algebraic iterative procedure. Through the analytical analysis and graphical illustrations for the solutions obtained, we discuss in detail the effects of an external magnetic field on the nonlinear wave. Under the action of an external field, although the amplitude, width and depth of soliton vary periodically with time and its symmetry property is changeable, the soliton can also propagate stably and it possesses particle-like behavior. |
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| Keywords: | Soliton Landau– Lifshitz-type equation Elastic collision Darboux transformation |
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