9 citations · 27 across the 14 of their papers we have counts for
14 papers
Methods for exact solutions of nonlinear ordinary differential equations\
Robert Conte, Micheline Musette, Tuen Wai Ng +1
In order to find closed form solutions of nonintegrable nonlinear ordinary differential equations, numerous tricks have been proposed. The goal of this short review is to recall cl…
Universal convexity and range problems of shifted hypergeometric functions
Toshiyuki Sugawa, Li-Mei Wang, Chengfa Wu
In the present paper, we study the shifted hypergeometric function $f(z)=z\Gauss(a,b;c;z)$ for real parameters with and its variant $g(z)=z\Gauss(a,b;c;z^2).$ Our f…
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…
Rogue waves and their patterns in the vector nonlinear Schrödinger equation
Guangxiong Zhang, Peng Huang, Bao-Feng Feng +1
In this paper, we study the general rogue wave solutions and their patterns in the vector (or -component) nonlinear Schrödinger (NLS) equation. By applying the Kadomtsev-Petvias…
Connectivity of Fatou Components of Meromorphic Functions
Jiaxing Huang, Chengfa Wu, Jian-Hua Zheng
In this paper, we show that there exist transcendental meromorphic functions with a cycle of 2-periodic Fatou components, where one is simply connected while the other is doubly co…
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…