60 citations · 231 across the 15 of their papers we have counts for
15 papers
Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy
Runliang Lin, Tiancheng Cao, Xiaojun Liu +1
In this paper, we construct the bilinear identities for the wave functions of an extended B-type Kadomtsev-Petviashvili (BKP) hierarchy, which contains two types of (2+1)-dimension…
Quantization of classical curves
Xiaojun Liu, Albert Schwarz
We discuss the relation between quantum curves (defined as solutions of equation , where are ordinary differential operators) and classical curves. We illustrate…
Quantum curves for simple Hurwitz numbers of an arbitrary base curve
Xiaojun Liu, Motohico Mulase, Adam Sorkin
Various generating functions of simple Hurwitz numbers of the projective line are known to satisfy many properties. They include a heat equation, the Eynard-Orantin topological rec…
Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy
Runliang Lin, Xiaojun Liu, Yunbo Zeng
In this paper, we construct the bilinear identities for the wave functions of an extended Kadomtsev-Petviashvili (KP) hierarchy, which is the KP hierarchy with particular extended…
A criterion of normality based on a single holomorphic function II
Xiaojun Liu, Shahar Nevo
In this paper, we continue to discuss normality based on a single\linebreak holomorphic function. We obtain the following result. Let $\CF$ be a family of functions holomorphic on…
Differential Inequalities, Normality and Quasi-Normality
Xiaojun Liu, Shahar Nevo, Xuecheng Pang
We prove that if D is a domain in C, alpha>1 and c>0, then the family F of functions meromorphic in D such that |f'(z)|/(1+|f(z)|^alpha)>c for every z in D is normalin D. For alpha…