Wellposedness results for the short pulse equation

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.

arXiv admin note: text overlap with arXiv:1310.7013

References in corpus (1)

• The short pulse equation is integrable

Cited by in corpus (3)

• Seiberg-Witten theory as a Fermi gas
• A convergent finite difference scheme for the Ostrovsky--Hunter equation with Dirichlet boundary conditions
• Soliton interactions and Yang-Baxter maps for the complex coupled short-pulse equation