The nonlocal nonlinear Schrödinger equation (NNLSE) with competing weakly nonlocal nonlinearity and parabolic law nonlinearity is explored in the current work. A powerful integration tool, which is a modified form of the simple equation method, is used to construct the dark and singular 1-soliton solutions. It is shown that the modified simple equation method provides an effective and powerful mathematical gadget for solving various types of NNLSEs.

中文翻译：

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具有竞争的弱非局部和抛物型非线性的Schrödinger方程的N1孤子解。

在当前工作中，研究了具有竞争性的弱非局部非线性和抛物线定律非线性的非局部非线性薛定ding方程（NNLSE）。一个强大的积分工具，是简单方程法的一种改进形式，用于构造暗和奇异的1-孤子解。结果表明，改进的简单方程方法为解决各种类型的NNLSE提供了有效而强大的数学工具。