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Types of coefficient constraints of coupled nonlinear Schr?dinger equations for elastic and inelastic interactions between spatial solitons with symbolic computation

机译：具有符号计算的空间孤子之间的弹性和非弹性相互作用的耦合非线性薛定er方程的系数约束类型

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摘要

With symbolic computation and Hirota method, analytic two-soliton solutions for the coupled nonlinear Schr?dinger (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. Alloptical 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.
机译：通过符号计算和Hirota方法，导出了耦合非线性薛定ding（CNLS）方程的解析双孤子解，该方程描述了空间孤子在AlGaAs平板波导中的传播。本文首次获得了用于区分空间孤子之间的弹性和非弹性相互作用的CNLS方程的两种系数约束。进行渐近分析以研究空间孤子相互作用。在获得的CNLS方程系数约束下研究了非弹性相互作用。讨论了参数对获得的孤子解的影响。基于空间孤子之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。数值模拟与分析结果吻合良好。提出的结果在双折射管理的交换架构的设计中具有应用。

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