Singularity formation in the generalized Benjamin-Ono equation
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/275692
- author
- Bona, JL and Kalisch, Henrik LU
- organization
- publishing date
- 2004
- 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}}, }