70 citations · 142 across the 25 of their papers we have counts for
26 papers
All meromorphic traveling waves of cubic and quintic complex Ginzburg-Landau equations
Robert Conte, Micheline Musette, Ng Tuen Wai +1
For both cubic and quintic nonlinearities of the one-dimensional complex Ginzburg-Landau evolution equation, we prove by a theorem of Eremenko the finiteness of the number of trave…
Linear -difference, difference and differential operators preserving some -entire functions
Jiaxing Huang, Tuen Wai Ng
We apply Rossi's half-plane version of Borel's Theorem to study the zero distribution of linear combinations of -entire functions (Theorem 1.2). This provides a unifie…
New solutions to the complex Ginzburg-Landau equations
Robert Conte, Micheline Musette, Ng Tuen Wai +1
The various régimes observed in the one-dimensional complex Ginzburg-Landau equation result from the interaction of a very small number of elementary patterns such as pulses, front…
Rationality of meromorphic functions between real algebraic sets in the plane
Tuen-Wai Ng, Xiao Yao
We study one variable meromorphic functions mapping a planar real algebraic set to another real algebraic set in the complex plane. By using the theory of Schwarz reflection fu…
Closed-form meromorphic solutions of some third order boundary layer ordinary differential equations
Robert Conte, Tuen-Wai Ng, Chengfa Wu
We introduce a general third order non-linear autonomous ODE which covers many ODEs coming from boundary layer problems, like the Falkner-Skan equation and the Cheng-Minkowycz equa…
Carathéodory balls and proper holomorphic maps on multiply-connected planar domains
Tuen Wai Ng, Chiu Chak Tang, Jonathan Tsai
In this paper, we will establish the inequivalence of closed balls and the closure of open balls under the Carathéodory metric in some planar domains of finite connectivity greater…