3 citations · 3 across the 2 of their papers we have counts for
2 papers
math.AP2017
Asymptotic Linear Stability of the Benney-Luke equation in 2D
Tetsu Mizumachi, Yusuke Shimabukuro
In this paper, we study transverse linear stability of line solitary waves to the -dimensional Benney-Luke equation which arises in the study of small amplitude long water waves…
math.AP2016★ 3 cited
Global solution of the Wadati-Konno-Ichikawa equation with small initial data
Yusuke Shimabukuro
We show the existence of global solution for the Wadati-Konno-Ichikawa (WKI) equation with small initial data in the smooth function space. Our approach is based on the scattering…