42 citations · 80 across the 9 of their papers we have counts for
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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…
math.AP2016★ 8 cited
Existence of global solutions to the derivative NLS equation with the inverse scattering transform method
Dmitry E. Pelinovsky, Yusuke Shimabukuro
We address existence of global solutions to the derivative nonlinear Schrödinger (DNLS) equation without the small-norm assumption. By using the inverse scattering transform method…