Two-dimensional particle solution of the extended Hamilton-Jacobi equation

Strunin, D. V. (2008) Two-dimensional particle solution of the extended Hamilton-Jacobi equation. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 50 (S). C282-C291. ISSN 1446-1811

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Abstract

In classical mechanics the Hamilton-Jacobi equation for a free particle has the property of reducing a perturbation of spatially uniform solution into a point. In the late 1970s Sivashinsky proposed an extension of the equation so that it takes the form of the Kuramoto-Sivashinsky equation under which a smooth soliton is formed instead of the point. The soliton was proposed as a model for spatially extended elementary particle. However, this solution is unstable. Developing the Sivashinsky's idea further, we propose a different extension which ensures stability. We performed two-dimensional computational experiments demonstrating the soliton formation and stability.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © Australian Mathematical Society 2008. This publication is copyright. It may be reproduced in whole or in part for the purposes of study, research, or review, but is subject to the inclusion of an acknowledgment of the source. Author's version deposited in accordance with the copyright polciy of the publisher.
Depositing User: Dr Dmitry Strunin
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 12 Nov 2009 06:52
Last Modified: 20 Oct 2014 23:34
Uncontrolled Keywords: extended Hamilton-Jacobi equation; soliton solution; particle physics
Fields of Research (FOR2008): 01 Mathematical Sciences > 0105 Mathematical Physics > 010503 Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory
02 Physical Sciences > 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics > 020203 Particle Physics
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
URI: http://eprints.usq.edu.au/id/eprint/5077

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