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

AIMS Mathematics

Giuseppe Maria Coclite¹  Lorenzo di Ruvo² 

[1] 1 Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, via E. Orabona 4, 70125 Bari, Italy;2 Dipartimento di Matematica, Università di Bari, via E. Orabona 4, 70125 Bari, Italy;

关键词: existence;    uniqueness;    stability;    entropy solutions;    conservation laws;    short-pulse master mode-locking equation;    Cauchy problem;   

DOI  :  10.3934/math.2019.3.437

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown