42 citations · 80 across the 9 of their papers we have counts for
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nlin.SI2017★ 1 cited
The derivative NLS equation: global existence with solitons
Yusuke Shimabukuro, Aaron Saalmann, Dmitry E. Pelinovsky
We extend the global existence result for the derivative NLS equation to the case when the initial datum includes a finite number of solitons. This is achieved by an application of…
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…
nlin.SI2017★ 10 cited
-soliton formula and blowup result of the Wadati-Konno-Ichikawa equation
Hsiao-Fan Liu, Yusuke Shimabukuro
We formulate the soliton solution of the Wadati-Konno-Ichikawa equation that is determined by purely algebraic equations. Derivation is based on the matrix Riemann-Hilbert prob…