Sanders, J.A. and Wang, J.P. (1997) Classification of conservation laws for KdV--like equations. mathematics and computers in simulation, 44 (5). pp. 471-481. ISSN 0378-4754 .
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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.
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics|
|Depositing User:||Jing Ping Wang|
|Date Deposited:||20 Jul 2009 21:39|
|Last Modified:||14 Jan 2010 14:32|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/8853 (The current URI for this page, for reference purposes)|
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