The bilinearization of the generalized derivative nonlinear Schrödinger (GDNLS) equation is investigated systematically. It is known recently that the GDNLS equation can be decomposed into two different bilinear systems under the vanishing and nonvanishing boundary condition, respectively. However, it remains a question of how these two systems are related. In this letter, we show that all the bilinear equations can be derived uniformly from the KP hierarchy through appropriate reductions. Bright and dark soliton solutions in terms of Gram-type determinants are presented.

中文翻译：

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关于广义导数非线性Schrödinger方程双线性化的一个注记

系统研究了广义导数非线性薛定ding（GDNLS）方程的双线性化。最近已知，可以在消失和不消失的边界条件下分别将GDNLS方程分解为两个不同的双线性系统。但是，这两个系统之间的关系仍然是一个问题。在这封信中，我们表明可以通过适当的归约从KP层次结构统一导出所有双线性方程式。提出了根据革兰氏决定因素的明暗孤子解。