Research article

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

  • Received: 09 January 2019 Accepted: 18 April 2019 Published: 08 May 2019
  • MSC : 35G15, 35L65, 35L05, 35A05

  • 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.

    Citation: Giuseppe Maria Coclite, Lorenzo di Ruvo. Discontinuous solutions for the short-pulse master mode-locking equation[J]. AIMS Mathematics, 2019, 4(3): 437-462. doi: 10.3934/math.2019.3.437

    Related Papers:

  • 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.


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