Ankiewicz, Adrian and Bassom, Andrew and Clarkson, Peter and Dowie, Ellen (2016) Conservation laws and integral relations for the Boussinesq equation. Technical report. arXiv.org (KAR id:59908)
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Official URL https://arxiv.org/abs/1611.09505 
Abstract
We are concerned with conservation laws and integral relations associated with rational solutions of the Boussinesq equation, a soliton equation solvable by inverse scattering which was first introduced by Boussinesq in 1871. The rational solutions are logarithmic derivatives of a polynomial, are algebraically decaying and have a similar appearance to roguewave solutions of the focusing nonlinear Schr\"{o}dinger equation. For these rational solutions the constants of motion associated with the conserved quantities are zero and they have some interesting integral relations which depend on the total degree of the associated polynomial.
Item Type:  Monograph (Technical report) 

Subjects:  Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations 
Divisions:  Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science 
Depositing User:  Peter Clarkson 
Date Deposited:  18 Jan 2017 06:30 UTC 
Last Modified:  16 Feb 2021 13:41 UTC 
Resource URI:  https://kar.kent.ac.uk/id/eprint/59908 (The current URI for this page, for reference purposes) 
Clarkson, Peter:  https://orcid.org/0000000287775284 
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