含两个全同点杂质的sine-Gordon模型中多孤子波的动力学
Dynamics of the multi-soliton waves in the sine-Gordon model with two identical point impurities
摘要：
研究了两个同点吸引杂质模型中sine-Gordon方程的四扭多孤子（或四孤子）绝热动力学。该模型可用于描述多层铁磁体中的磁化局域波。对四光子晶体的结构和性质进行了数值研究。杂质之间的大距离和小距离的情况下，已被视为。发现了杂质区局域非线性高振幅波的频率与杂质间距的关系.为了解析描述杂质局域非线性波动力学的两个边界，利用微扰理论，建立了含弹性连杆谐振子的微分方程组.该解析模型定性地描述了sine-Gordon方程数值模拟的结果.
英文摘要：
The particular type of four-kink multi-solitons (or quadrons) adiabatic dynamics of the sine-Gordon equation in a model with two identical point attracting impurities has been studied. This model can be used for describing magnetization localized waves in multilayer ferromagnet. The quadrons structure and properties has been numerically investigated. The cases of both large and small distances between impurities has been viewed. The dependence of the localized in impurity region nonlinear high-amplitude waves frequencies on the distance between the impurities has been found. For an analytical description of two bound localized on impurities nonlinear waves dynamics, using perturbation theory, the system of differential equations for harmonic oscillators with elastic link has been found. The analytical model qualitatively describes the results of the sine-Gordon equation numerical simulation.
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