二分量离散非线性薛定谔晶格中的非交错-交错孤子
Unstaggered-staggered solitons in two-component discrete nonlinear Schrödinger lattices
摘要：
在两个离散的非线性薛定谔方程的对称系统中，通过互相排斥的交叉相位调制（XPM）相互作用耦合，得到了由非交错分量和交错分量耦合而成的稳定亮孤子.这些混合模式属于“共生”类型，因为每个孤立的分量可能只携带普通的非交错孤立子。结果得到的分析形式，使用变分和Ekas-Fermi近似（VA和TFA），和广义Vakhitov-Kolokolov（VK）的稳定性评价标准。数值结果验证了分析预测。几乎所有的共生孤子都被VA相当准确地预测，并且是稳定的。接近孤子存在区域的边界（其可以具有若干连接分支），存在不能很好地由VA近似的宽孤子，并且是不稳定的。
英文摘要：
We present stable bright solitons built of coupled unstaggered and staggered components in a symmetric system of two discrete nonlinear Schrödinger (DNLS) equations with the attractive self-phase-modulation (SPM) nonlinearity, coupled by the repulsive cross-phase-modulation (XPM) interaction. These mixed modes are of a "symbiotic" type, as each component in isolation may only carry ordinary unstaggered solitons. The results are obtained in an analytical form, using the variational and Thomas-Fermi approximations (VA and TFA), and the generalized Vakhitov-Kolokolov (VK) criterion for the evaluation of the stability. The analytical predictions are verified against numerical results. Almost all the symbiotic solitons are predicted by the VA quite accurately, and are stable. Close to a boundary of the existence region of the solitons (which may feature several connected branches), there are broad solitons which are not well approximated by the VA, and are unstable.
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