Recent zbMATH articles in MSC 32A22 https://www.zbmath.org/atom/cc/32A22 2021-04-16T16:22:00+00:00 Werkzeug A uniqueness theorem for meromorphic functions concerning total derivatives in several complex variables. https://www.zbmath.org/1456.32003 2021-04-16T16:22:00+00:00 "Xu, Ling" https://www.zbmath.org/authors/?q=ai:xu.ling "Cao, Tingbin" https://www.zbmath.org/authors/?q=ai:cao.tingbin The authors prove the following theorem: Let $$f$$ and $$g$$ be two non-constant meromorphic functions on $$\mathbb{C}^{m}$$ and $$k$$ be a positive integer such that $$f$$ and $$g$$ share $$0$$ CM, $$D^{k}f$$ and $$D^{k}g$$ share $$\infty$$ and $$1$$ CM. If $$2\delta(0; f) + (k + 4)\Theta (\infty; f) > k + 5$$, then $$D^{k}f - 1= c(D^{k}g - 1)$$, where $$c (\neq 0, \infty)$$ is a constant and $$D^{k}f$$ represents the $$k^{\text th}$$ order total derivative of $$f$$. Reviewer: Indrajit Lahiri (Kalyani) Meromorphic solutions of generalized inviscid Burgers' equations and related PDEs. https://www.zbmath.org/1456.35009 2021-04-16T16:22:00+00:00 "Lü, Feng" https://www.zbmath.org/authors/?q=ai:lu.feng Summary: The purposes of this paper are twofold. The first one is to describe entire solutions of certain type of PDEs in $$\mathbb{C}^n$$ with the modified KdV-Burgers equation and modified Zakharov-Kuznetsov equation as the prototypes. The second one is to characterize entire and meromorphic solutions of generalized inviscid Burgers' equations in $$\mathbb{C}^2$$.