Optical soliton solutions for two coupled nonlinear Schrödinger systems via Darboux transformation
Optical soliton solutions for two coupled nonlinear Schrödinger systems via Darboux transformation
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DOI：
10.1088/0031-8949/76/5/009
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发表时间：
2007-09
期刊：
影响因子：
2.9
通讯作者：
Hai-Qiang Zhang;Juan Li;Tao Xu;Ya-Xing Zhang;Wei-qiong Hu;B. Tian
中科院分区：
文献类型：
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作者：
Hai-Qiang Zhang;Juan Li;Tao Xu;Ya-Xing Zhang;Wei-qiong Hu;B. Tian
在非线性光纤中，矢量孤子可以由各向同性介质中偏振光波的非线性耦合系统Schrödinger来控制。基于ablowitz - kap - newwell - segur技术，成功地将Darboux变换方法应用于两个耦合非线性Schrödinger系统。在符号计算的帮助下，通过Darboux变换的迭代算法进一步构造了包括一峰孤子和双峰孤子在内的亮向量单孤子和双孤子解。通过几个示例解的图，讨论了这类明亮矢量孤子的稳定传播和弹性碰撞，并指出了它们在光通信和相关光学实验中的可能应用。此外，还给出了这两个系统的守恒量，即能量、动量和哈密顿量。
In nonlinear optical fibers, the vector solitons can be governed by the systems of coupled nonlinear Schrödinger from polarized optical waves in an isotropic medium. Based on the Ablowitz–Kaup–Newell–Segur technology, the Darboux transformation method is successfully applied to two coupled nonlinear Schrödinger systems. With the help of symbolic computation, the bright vector one- and two-soliton solutions including one-peak and two-peak solitons are further constructed via the iterative algorithm of Darboux transformation. Through the figures for several sample solutions, the stable propagation and elastic collisions for these kinds of bright vector solitons are discussed and the possible applications are pointed out in optical communications and relevant optical experiments.In addition, the conserved quantities of such two systems, i.e., the energy, momentum and Hamiltonian, are also presented.