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Singularity formation in the generalized Benjamin-Ono equation

Bona, JL and Kalisch, Henrik LU (2004) In Discrete and Continuous Dynamical Systems. Series A 11(1). p.27-45
Abstract
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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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Fourier-collocation, nonlinear waves, integro-differential equations, singularity formation
in
Discrete and Continuous Dynamical Systems. Series A
volume
11
issue
1
pages
27 - 45
publisher
American Institute of Mathematical Sciences
external identifiers
  • wos:000221965000003
  • scopus:2942653346
ISSN
1553-5231
language
English
LU publication?
yes
id
f4dc98ac-a339-4ad3-b141-6750892de1db (old id 275692)
date added to LUP
2016-04-01 16:42:27
date last changed
2022-02-27 23:01:05
@article{f4dc98ac-a339-4ad3-b141-6750892de1db,
  abstract     = {{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.}},
  author       = {{Bona, JL and Kalisch, Henrik}},
  issn         = {{1553-5231}},
  keywords     = {{Fourier-collocation; nonlinear waves; integro-differential equations; singularity formation}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{27--45}},
  publisher    = {{American Institute of Mathematical Sciences}},
  series       = {{Discrete and Continuous Dynamical Systems. Series A}},
  title        = {{Singularity formation in the generalized Benjamin-Ono equation}},
  volume       = {{11}},
  year         = {{2004}},
}