2 citations · 6 across the 6 of their papers we have counts for
7 papers
Center stable manifold for ground states of nonlinear Schrödinger equations with internal modes
Masaya Maeda, Yohei Yamazaki
We study the dynamics of solutions of nonlinear Schrödinger equation near unstable ground states. The existence of the local center stable manifold around ground states and the asy…
Center stable manifolds around line solitary waves of the Zakharov--Kuznetsov equation with critical speed
Yohei Yamazaki
In this paper, we construct center stable manifolds around unstable line solitary waves of the Zakharov--Kuznetsov equation on two dimensional cylindrical spaces with period.…
Center stable manifolds around line solitary waves of the Zakharov--Kuznetsov equation
Yohei Yamazaki
In this paper, we construct center stable manifolds of unstable line solitary waves for the Zakharov--Kuznetsov equation on and show the orbital sta…
Stability of the line soliton of the Kadomtsev--Petviashvili-I equation with the critical traveling speed
Yohei Yamazaki
We consider the orbital stability of solitons of the Kadomtsev--Petviashvili-I equation in which is one of a high dimensional generali…
Stability for line solitary waves of Zakharov-Kuznetsov equation
Yohei Yamazaki
In this paper, we consider the stability for line solitary waves of the two dimensional Zakharov-Kuznetsov equation on which is one of a high dimensi…
Transverse instability for nonlinear Schrödinger equation with a linear potential
Yohei Yamazaki
In this paper we consider the transverse instability for a nonlinear Schrödinger equation with a linear potential on , where is the period of…
Non-separability of the Lipschitz distance
Kohei Suzuki, Yohei Yamazaki
Let be a compact metric space and be the set of isometry classes of compact metric spaces such that the Lipschitz distance is finite. We show that…