Discontinuous solutions for the short-pulse master mode-locking equation

Abstract

The short-pulse master mode-locking equation is a model for ultrafast pulse propagation in a mode-locked laser cavity in the few-femtosecond pulse regime, that is a nonlinear evolution equation. In this paper, we prove the wellposedness of the Cauchy problem associated with this equation within a class of discontinuous solutions.

Keywords

• existence
• uniqueness
• stability
• entropy solutions
• conservation laws
• short-pulse master mode-locking equation
• Cauchy problem