Open AccessSingularity formation in the generalized Benjamin-Ono equation
Author(s) -
Jerry L. Bona,
Henrik Kalisch
Publication year - 2004
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2004.11.27
Subject(s) - singularity , collocation (remote sensing) , fourier transform , mathematical analysis , mathematics , mathematical physics , physics , computer science , machine learning
A Fourier-collocation scheme is used to approximate solutions to the generalized Benjamin-Ono equation u(t) + uP(Ux) - Hu(xx) = 0. The numerical simulation suggests that the equation features smooth solutions that become unbounded in finite time.
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