An extended Hénon-Heiles system

Andrew Hone; Vladimir Novikov; Caroline Verhoeven

An extended Hénon-Heiles system

Andrew Hone
, Vladimir Novikov
, Caroline Verhoeven

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1440-1444
Number of pages	5
Journal	Physics Letters A
Volume	372
Publication status	Published - 25 Feb 2008

Keywords

EQUATIONS
STATIONARY
HIERARCHY
OPERATORS
FLOWS

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title = "An extended H{\'e}non-Heiles system",

abstract = "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.",

keywords = "EQUATIONS, STATIONARY, HIERARCHY, OPERATORS, FLOWS",

author = "Andrew Hone and Vladimir Novikov and Caroline Verhoeven",

year = "2008",

month = feb,

day = "25",

language = "English",

volume = "372",

pages = "1440--1444",

journal = "Physics Letters A",

issn = "0375-9601",

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TY - JOUR

T1 - An extended Hénon-Heiles system

AU - Hone, Andrew

AU - Novikov, Vladimir

AU - Verhoeven, Caroline

PY - 2008/2/25

Y1 - 2008/2/25

N2 - 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.

AB - 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.

KW - EQUATIONS

KW - STATIONARY

KW - HIERARCHY

KW - OPERATORS

KW - FLOWS

M3 - Article

SN - 0375-9601

VL - 372

SP - 1440

EP - 1444

JO - Physics Letters A

JF - Physics Letters A

ER -

An extended Hénon-Heiles system

Abstract

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