15 citations · 20 across the 5 of their papers we have counts for
5 papers
Well-posedness of the two-dimensional generalized Benjamin-Bona-Mahony equation on the upper half plane
Ying-Chieh Lin, C. H. Arthur Cheng, John M. Hong +2
This paper focuses on the two-dimensional Benjamin-Bona-Mahony and Benjamin-Bona-Mahony-Burgers equations with a general flux function. The aim is at the global (in time) well-pose…
Solutions to the complex Korteweg-de Vries equation: Blow-up solutions and non-singular solutions
Ying-ying Sun, Juan-ming Yuan, Da-jun Zhang
In the paper two kinds of solutions are derived for the complex Korteweg-de Vries equation, including blow-up solutions and non-singular solutions. We derive blow-up solutions from…
Complex-valued Burgers and KdV-Burgers equations
Netra Khanal, Jiahong Wu, Juan-Ming Yuan +1
Spatially periodic complex-valued solutions of the Burgers and KdV-Burgers equations are studied in this paper. It is shown that for any sufficiently large time T, there exists an…
A new solution representation for the BBM equation in a quarter plane and the eventual periodicity
John Meng-Kai Hong, Jiahong Wu, Juan-Ming Yuan
The initial- and boundary-value problem for the Benjamin-Bona-Mahony (BBM) equation is studied in this paper. The goal is to understand the periodic behavior (termed as eventual pe…
Classification of Steadily Rotating Spiral Waves for the Kinematic Model
Chu-Pin Lo, Nedialko S. Nedialkov, Juan-Ming Yuan
Spiral waves arise in many biological, chemical, and physiological systems. The kinematical model can be used to describe the motion of the spiral arms approximated as curves in th…