Wellposedness results for the short pulse equation

2014/01/13 by G. M. Coclite, L. di Ruvo
Mathematics · #math.AP

paper · pdf · doi:10.1007/s00033-014-0478-6

arXiv admin note: text overlap with arXiv:1310.7013

arxiv created 2014/01/13 · arxiv updated 2016/10/30

Abstract

The short pulse equation provides a model for the propagation of ultra-short light pulses in silica optical fibers. It is a nonlinear evolution equation. In this paper the wellposedness of bounded solutions for the homogeneous initial boundary value problem and the Cauchy problem associated to this equation are studied.

Citations

• Wellposedness of bounded solutions of the non-homogeneous initial boundary value problem for the Ostrovsky-Hunter equation