论文标题
正规分散方程中有限的孤子状态的动力学
Dynamics of bound soliton states in regularized dispersive equations
论文作者
论文摘要
研究了拓扑孤子（位错，域壁，磁通）的非平稳动力学及其在具有较高色散的一维系统中的结合状态。分析研究了移动的扭结发射辐射和呼吸器的动力学特征。指定了呼吸激发及其动力学特性的条件。在分析和数值上研究了孤子复合物的过程，与分散剂的强度，孤子速度和孤子之间的距离有关。结果表明，具有内部结构的移动结合孤子络合物可以通过耗散介质稳定，然后它们的速度以逐步的方式取决于驱动强度。
The nonstationary dynamics of topological solitons (dislocations, domain walls, fluxons) and their bound states in one-dimensional systems with high dispersion are investigated. Dynamical features of a moving kink emitting radiation and breathers are studied analytically. Conditions of the breather excitation and its dynamical properties are specified. Processes of soliton complex formation are studied analytically and numerically in relation to the strength of the dispersion, soliton velocity, and distance between solitons. It is shown that moving bound soliton complexes with internal structure can be stabilized by an external force in a dissipative medium then their velocities depend in a step-like manner on a driving strength.
