Conservation laws of the Camassa-Holm equation
(2005) In Journal of Physics A: Mathematical and General 38(4). p.869-880- Abstract
- We use the bi-Hamiltonian structure of the Camassa-Holm equation to show that its conservation laws H-n[m] are homogeneous with respect to the scaling m --> lambdam. Moreover, a direct argument is presented proving that H-1, H-2,..., are of local character. Finally, simple representations of the conservation laws in terms of their variational derivatives are derived and used to obtain a constructive scheme for computation of the H(n)s.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/253559
- author
- Lenells, Jonatan LU
- organization
- publishing date
- 2005
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Physics A: Mathematical and General
- volume
- 38
- issue
- 4
- pages
- 869 - 880
- publisher
- IOP Publishing
- external identifiers
-
- wos:000227044500009
- scopus:12944314802
- ISSN
- 0305-4470
- DOI
- 10.1088/0305-4470/38/4/007
- language
- English
- LU publication?
- yes
- id
- c6021093-77d7-4807-8007-a979def2fca8 (old id 253559)
- date added to LUP
- 2016-04-01 16:06:14
- date last changed
- 2022-03-30 05:27:25
@article{c6021093-77d7-4807-8007-a979def2fca8, abstract = {{We use the bi-Hamiltonian structure of the Camassa-Holm equation to show that its conservation laws H-n[m] are homogeneous with respect to the scaling m --> lambdam. Moreover, a direct argument is presented proving that H-1, H-2,..., are of local character. Finally, simple representations of the conservation laws in terms of their variational derivatives are derived and used to obtain a constructive scheme for computation of the H(n)s.}}, author = {{Lenells, Jonatan}}, issn = {{0305-4470}}, language = {{eng}}, number = {{4}}, pages = {{869--880}}, publisher = {{IOP Publishing}}, series = {{Journal of Physics A: Mathematical and General}}, title = {{Conservation laws of the Camassa-Holm equation}}, url = {{http://dx.doi.org/10.1088/0305-4470/38/4/007}}, doi = {{10.1088/0305-4470/38/4/007}}, volume = {{38}}, year = {{2005}}, }