Hone, Andrew N.W. and Novikov, Vladimir S. and Verhoeven, C. (2008) An extended Henon-Heiles system. Physics Letters A, 372 (9). pp. 1440-1444. ISSN 0375-9601. (doi:https://doi.org/10.1016/j.physleta.2007.09.063) (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)
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We consider an integrable system of partial differential equations possessing a Lax pair with an energy-dependent Lax operator of second order, of the type described by Antonowicz and Fordy. By taking the travelling wave reduction of this system we show that the integrable case (ii) Henon-Heiles system can be extended by adding an arbitrary number of non-polynomial (rational) terms to the potential.
|Divisions:||Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics|
|Depositing User:||Andrew N W Hone|
|Date Deposited:||20 Apr 2009 14:08 UTC|
|Last Modified:||15 Jul 2014 14:17 UTC|
|Resource URI:||https://kar.kent.ac.uk/id/eprint/15689 (The current URI for this page, for reference purposes)|