Sanders, Jan A., Wang, Jing Ping (1997) Classification of conservation laws for KdV--like equations. Mathematics and Computers in Simulation, 44 (5). pp. 471-481. ISSN 0378-4754. (doi:10.1016/S0378-4754(97)00076-1) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:8853)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1016/S0378-4754(97)00076-1 |
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Abstract
We prove that the computation of the conservation laws of (2n + 1)th-order KdV-like equations (i.e. higher order evolution equations with the same scaling as KdV) can be restricted to polynomials with constant terms, except when the order of the conservation law equals n - 1, in which case the density has linear t dependence. This shows that existing computer algebra programs which assume the conservation law to be of this form are providing the complete answer.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1016/S0378-4754(97)00076-1 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Jing Ping Wang |
| Date Deposited: | 20 Jul 2009 21:39 UTC |
| Last Modified: | 20 May 2025 11:31 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/8853 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Wang, Jing Ping.
| Creator's ORCID: |
 https://orcid.org/0000-0002-6874-5629
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