15 citations · 29 across the 13 of their papers we have counts for
14 papers
Local well-posedness for fourth-order nonlinear dispersive systems on the one-dimensional torus under structural conditions
Eiji Onodera
We study local well-posedness of the initial value problem for a class of fourth-order nonlinear dispersive systems on the one-dimensional torus. The main difficulty comes from the…
Local well-posedness for a fourth-order nonlinear dispersive system on the 1D torus
Eiji Onodera
This paper is concerned with the initial value problem for a system of one-dimensional fourth-order dispersive partial differential equations on the torus with nonlinearity involvi…
Local well-posedness of the initial value problem for a fourth-order nonlinear dispersive system on the real line
Eiji Onodera
This paper investigates the initial value problem for a system of one-dimensional fourth-order dispersive partial differential-integral equations with nonlinearity involving deriva…
Structure of a fourth-order dispersive flow equation through the generalized Hasimoto transformation
Eiji Onodera
This paper focuses on a one-dimensional fourth-order nonlinear dispersive partial differential equation for curve flows on a Kähler manifold. The equation arises as a fourth-order…
Uniqueness of 1D Generalized Bi-Schrödinger Flow
Eiji Onodera
We establish the uniqueness of a smooth generalized bi-Schrödinger flow from the one-dimensional flat torus into a compact locally Hermitian symmetric space. The governing equation…
Local existence of a fourth order dispersive curve flow on locally hermitian symmetric spaces and the application
Eiji Onodera
This paper is concerned with a fourth order nonlinear dispersive partial differential equation for closed curve flow on a Kähler manifold. The main results is that the initial valu…