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Classification of conservation laws for KdV--like equations

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)

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. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.1016/S0378-4754(97)00076-1

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)
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Jing Ping Wang
Date Deposited: 20 Jul 2009 21:39 UTC
Last Modified: 06 Feb 2020 04:02 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/8853 (The current URI for this page, for reference purposes)
Wang, Jing Ping: https://orcid.org/0000-0002-6874-5629
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