In this paper, we investigated a new form of nonlinear Schrödinger equation (NLSE), namely the Biswas–Arshed model (BAM) for the analysis of complete integrability with the help of Painlevé test ([Formula: see text]-test). By applying this test, we analyze the singularity structure of the solutions of BAM, knowing the fact that the absence of specific sort of singularities like moveable branch points is a patent signal for the complete integrability of the discussed model. Passing the [Formula: see text]-test is a powerful indicator that the studied model is resolvable by means of inverse scattering transformation (IST).

中文翻译：

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讨论光纤中孤子动力学的非线性薛定谔方程的 Painlevé 分析

在本文中，我们研究了一种新形式的非线性薛定谔方程（NLSE），即 Biswas-Arshed 模型（BAM），用于借助 Painlevé 检验（[公式：见正文]-检验）分析完全可积性。通过应用这个测试，我们分析了 BAM 解的奇点结构，知道没有像可移动分支点这样的特定类型的奇点是所讨论模型的完全可积性的专利信号。通过 [公式：见文本]-测试是一个强有力的指标，表明所研究的模型可通过逆散射变换 (IST) 解决。