Hone, A.N.W. and Novikov, V.S. and Verhoeven, C. (2008) An extended Henon-Heiles system. Physics Letters A, 372 (9). pp. 1440-1444. ISSN 0375-9601.
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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 > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics|
|Depositing User:||Jane Griffiths|
|Date Deposited:||20 Apr 2009 14:08|
|Last Modified:||11 Jan 2012 10:41|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/15689 (The current URI for this page, for reference purposes)|
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