Classification of conservation laws for KdV-like equations

Jan A. Sanders and Jing Ping Wang

Mathematics and Computers in Simulation (MATCOM), 1997, vol. 44, issue 5, 471-481

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.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:44:y:1997:i:5:p:471-481

DOI: 10.1016/S0378-4754(97)00076-1

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