Smoothing properties for the higher order nonlinear Schrödinger equation with constant coefficients

Abstract

We study local and global existence and smoothing properties for the initial value problem associated to a higher order nonlinear Schrödinger equation with constant coefficients which appears as a model for propagation of pulse in optical fiber.

References in corpus (1)

• Gain of Regularity for the KP-I Equation

Cited by in corpus (3)

• Gain of regularity for a coupled system of generalized nonlinear Schrödinger equations
• Global Existence and Long-time Behaviour of Nonlinear Equation of Schrödinger type
• Higher order nonlinear Schrödinger equation in domains with moving boundaries