Types of coefficient constraints of coupled nonlinear Schrödinger equations for elastic and inelastic interactions between spatial solitons with symbolic computation
Types of coefficient constraints of coupled nonlinear Schrödinger equations for elastic and inelastic interactions between spatial solitons with symbolic computation
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DOI：
10.1007/s11071-014-1258-8
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发表时间：
2014-02
影响因子：
5.6
通讯作者：
Wenjun Liu;M. Lei
中科院分区：
文献类型：
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作者：
Wenjun Liu;M. Lei
利用符号计算和Hirota方法，导出了描述AlGaAs平板波导中空间孤子传输的耦合非线性薛定谔（CNLS）方程的双孤子解析解.本文首次给出了CNLS方程的两类系数约束，用以区分空间孤子间的弹性和非弹性相互作用。对空间孤子相互作用进行了渐近分析。在CNLS方程的系数约束下研究了非弹性相互作用。讨论了参数对孤子解的影响。基于空间孤子间非弹性相互作用的动力学特性，研究了全光开关和孤子放大。数值模拟结果与解析结果吻合较好。所提出的结果具有应用在设计的双精度管理的交换结构。
With symbolic computation and Hirota method, analytic two-soliton solutions for the coupled nonlinear Schrödinger (CNLS) equations, which describe the propagation of spatial solitons in an AlGaAs slab waveguide, are derived. Two types of coefficient constraints of the CNLS equations to distinguish the elastic and inelastic interactions between spatial solitons are obtained for the first time in this paper. Asymptotic analysis is made to investigate the spatial soliton interactions. The inelastic interactions are studied under the obtained coefficient constraints of the CNLS equations. The influences of parameters for the obtained soliton solutions are discussed. All-optical switching and soliton amplification are studied based on the dynamic properties of inelastic interactions between spatial solitons. Numerical simulations are in good agreement with the analytic results. The presented results have applications in the design of birefringence-managed switching architecture.