Well-Posedness Results for the Continuum Spectrum Pulse Equation

Abstract

The continuum spectrum pulse equation is a third order nonlocal nonlinear evolutive equation related to the dynamics of the electrical field of linearly polarized continuum spectrum pulses in optical waveguides. In this paper, the well-posedness of the classical solutions to the Cauchy problem associated with this equation is proven.

Keywords

• existence
• uniqueness
• stability
• continuum spectrum pulse equation
• cauchy problem