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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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 |
---|---|

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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