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Well-posedness results for the short pulse equation

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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 well-posedness of bounded solutions for the homogeneous initial boundary value problem and the Cauchy problem associated with this equation are studied.

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Authors and Affiliations

  1. Department of Mathematics, University of Bari, via E. Orabona 4, 70125, Bari, Italy

    Giuseppe Maria Coclite & Lorenzo di Ruvo

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  1. Giuseppe Maria Coclite
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  2. Lorenzo di Ruvo
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Correspondence to Giuseppe Maria Coclite.

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Coclite, G.M., di Ruvo, L. Well-posedness results for the short pulse equation. Z. Angew. Math. Phys. 66, 1529–1557 (2015). https://doi.org/10.1007/s00033-014-0478-6

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  • DOI: https://doi.org/10.1007/s00033-014-0478-6

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