次近邻耦合离散非线性薛定谔方程的变分逼近
Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings
摘要：
利用变分近似和数值计算方法研究了含次近邻相互作用的离散非线性薛定谔方程的孤子解.一个大家庭的多峰的解决方案，包括那些与非平凡的相结构，这是一个功能特定的下一个最近邻相互作用模型，准确地预测变分近似。分支连接的解决方案与平凡和非平凡的相结构也被捕获非常好，包括预测的关键参数值。
英文摘要：
Solitons of a discrete nonlinear Schrödinger equation which includes the next-nearest-neighbor interactions are studied by means of a variational approximation and numerical computations. A large family of multi-humped solutions, including those with a nontrivial phase structure which are a feature particular to the next-nearest-neighbor interaction model, are accurately predicted by the variational approximation. Bifurcations linking solutions with the trivial and nontrivial phase structures are also captured remarkably well, including a prediction of critical parameter values.
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