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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
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
2007-10-17 10:56:25
date last changed
2017-10-01 04:48:09
@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},
  keyword      = {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},
}