Clerc Marcel G, Garcia-Ñustes Mónica A, Zárate Yair, Coulibaly Saliya
Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052915. doi: 10.1103/PhysRevE.87.052915. Epub 2013 May 24.
Parametrically driven extended systems exhibit dissipative localized states. Analytical solutions of these states are characterized by a uniform phase and a bell-shaped modulus. Recently, a type of dissipative localized state with a nonuniform phase structure has been reported: the phase shielding solitons. Using the parametrically driven and damped nonlinear Schrödinger equation, we investigate the main properties of this kind of solution in one and two dimensions and develop an analytical description for its structure and dynamics. Numerical simulations are consistent with our analytical results, showing good agreement. A numerical exploration conducted in an anisotropic ferromagnetic system in one and two dimensions indicates the presence of phase shielding solitons. The structure of these dissipative solitons is well described also by our analytical results. The presence of corrective higher-order terms is relevant in the description of the observed phase dynamical behavior.
参数驱动的扩展系统表现出耗散局域态。这些态的解析解具有均匀相位和钟形模量的特征。最近，报道了一种具有非均匀相位结构的耗散局域态：相位屏蔽孤子。利用参数驱动和阻尼的非线性薛定谔方程，我们研究了这种解在一维和二维中的主要性质，并对其结构和动力学进行了解析描述。数值模拟与我们的解析结果一致，显示出良好的吻合。在一维和二维各向异性铁磁系统中进行的数值探索表明存在相位屏蔽孤子。我们的解析结果也很好地描述了这些耗散孤子的结构。在描述观测到的相位动力学行为时，修正高阶项的存在是相关的。
