We consider the initial value problem for the fourth order nonlinear Schrödinger type equation (4NLS) related to the theory of vortex filament. In this paper we prove the time local well-posedness for (4NLS) in the Sobolev space, which is an improvement of our previous paper.
- Fourth order nonlinear Schrödinger type equation
- Local well-posedness
ASJC Scopus subject areas
- Applied Mathematics