Bright discrete solitons in spatially modulated DNLS systems
Bright discrete solitons in spatially modulated DNLS systems
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DOI：
10.1088/1751-8113/48/34/345201
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发表时间：
2015-07
期刊：
影响因子：
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通讯作者：
P. Kevrekidis;R. Horne;N. Whitaker;Q. E. Hoq;D. Kip
中科院分区：
文献类型：
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作者：
P. Kevrekidis;R. Horne;N. Whitaker;Q. E. Hoq;D. Kip
在目前的工作中，我们重新高度活跃的研究领域的非均匀非线性散焦介质，并考虑存在，谱稳定性和非线性动力学的亮孤立波。我们使用的反连续极限的消失耦合作为我们的分析的出发点，使以这种方式的分支的解决方案的系统表征。我们的稳定性研究结果和分歧的特点揭示了增强的鲁棒性和更广泛的存在区间的解决方案与更广泛的支持，最终在“扩展”的解决方案中，所有的网站都很兴奋。我们的特征值预测得到了数值线性稳定性分析的证实。最后，动态也揭示了一种趋势的解决方案的配置文件，扩大，符合上述调查结果。这些结果为进一步探索离散系统中的这种状态铺平了道路，包括在高维环境中。
In the present work, we revisit the highly active research area of inhomogeneously nonlinear defocusing media and consider the existence, spectral stability and nonlinear dynamics of bright solitary waves in them. We use the anti-continuum limit of vanishing coupling as the starting point of our analysis, enabling in this way a systematic characterization of the branches of solutions. Our stability findings and bifurcation characteristics reveal the enhanced robustness and wider existence intervals of solutions with a broader support, culminating in the ‘extended’ solution in which all sites are excited. Our eigenvalue predictions are corroborated by numerical linear stability analysis. Finally, the dynamics also reveal a tendency of the solution profiles to broaden, in line with the above findings. These results pave the way for further explorations of such states in discrete systems, including in higher dimensional settings.