Let \(p_1, p_2\) and \(\alpha _1, \alpha _2\) be non-zero constants, and \(P_d(z, f)\) be a differential polynomial in f of degree d. Li obtained the forms of meromorphic solutions with few poles of the non-linear differential equations \(f^n+P_d(z, f)=p_1e^{\alpha _1 z}+p_2e^{\alpha _2 z}\) provided \(\alpha _1\ne \alpha _2\) and \(d\le n-2\). In this paper, given \(d=n-1\), we find the forms of meromorphic solutions with few poles of the above equations under some restrictions on \(\alpha _1, \alpha _2\). Some examples are given to illustrate our results.

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某些类型的非线性微分方程的亚纯解

令\（p_1，p_2 \）和\（\ alpha _1，\ alpha _2 \）为非零常数，并且\（P_d（z，f）\）为度为d的f的微分多项式。李得到亚纯解的形式与非线性微分方程的几个极\（F ^ N + P_D（Z，F）= p_1e ^ {\阿尔法_1 Z} + p_2e ^ {\阿尔法_2 Z} \）提供\（\ alpha _1 \ ne \ alpha _2 \）和\（d \ le n-2 \）。在给定\（d = n-1 \）的情况下，我们在\（\ alpha _1，\ alpha _2 \）的一些限制下找到了上述方程极少的亚纯解的形式。给出了一些例子来说明我们的结果。