Dissipative Solitons in a Generalized Coupled Cubic–Quintic Ginzburg–Landau Equations
Dissipative Solitons in a Generalized Coupled Cubic–Quintic Ginzburg–Landau Equations
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DOI：
10.7566/jpsj.82.084002
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发表时间：
2013-07
影响因子：
1.7
通讯作者：
Gholam-Ali Zakeri;E. Yomba
中科院分区：
文献类型：
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作者：
Gholam-Ali Zakeri;E. Yomba
得到了一类广义非线性耦合三次-五次复Ginzburg-Landau方程的三族精确解析解。这些家庭的孤立波，描述了渐进的亮-亮，前-前，暗，和其他家庭的孤立波的演变进行了研究。使用脉冲模式的总能量，与线性增益相比，由于非线性的损耗-增益分析被完成。孤立波的稳定性检查使用线性稳定性分析，也提供了一个完整的数值稳定性，这些家庭的解决方案。结果表明，在白色噪声的微小扰动和系统参数的扰动下，所得到的孤立波大部分都能稳定传播。
Three families of exact analytical solutions of a generalized nonlinear coupled cubic–quintic complex Ginzburg–Landau equations are obtained. These families of solitary waves which describe the evolution of progressive bright–bright, front–front, dark–dark, and other families of solitary waves are investigated. Using total energy of pulse modes, a loss–gain analysis due to nonlinearity in comparison to a linear gain is done. The stability of the solitary waves is examined using linear stability analysis and also a complete numerical stability of these families of solutions is provided. The results reveal that most of the solitary waves obtained here can propagate in a stable way under slight perturbation of white noise and the disturbance of parameters of the system.