Periodic Nonlinear Schrödinger Equation with Application to Photonic Crystals

Periodic Nonlinear Schrödinger Equation with Application to Photonic Crystals
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DOI:
10.1007/s00032-005-0047-8
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发表时间:
2004-04
影响因子:
1.7
通讯作者:
A. Pankov
A. Pankov
中科院分区:
数学3区
文献类型:
--
作者:
A. Pankov

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本文给出了周期定常非线性Schr\“odinger方程的非平凡解的基本结果,包括已知的和新的结果。我们也简述了它在非线性光学中的应用,并讨论了一些悬而未决的问题。
We present basic results, known and new, on nontrivial solutions of periodic stationary nonlinear Schr\"odinger equations. We also sketch an application to nonlinear optics and discuss some open problems.