Strunin, D. V. (2008) Twodimensional particle solution of the extended HamiltonJacobi equation. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 50 (S). C282C291. ISSN 14461811

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Abstract
In classical mechanics the HamiltonJacobi 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 KuramotoSivashinsky 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 twodimensional 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. 
Faculty/School / Institute/Centre:  Historic  Faculty of Sciences  Department of Maths and Computing (Up to 30 Jun 2013) 
Faculty/School / Institute/Centre:  Historic  Faculty of Sciences  Department of Maths and Computing (Up to 30 Jun 2013) 
Date Deposited:  12 Nov 2009 06:52 
Last Modified:  20 Oct 2014 23:34 
Uncontrolled Keywords:  extended HamiltonJacobi equation; soliton solution; particle physics 
Fields of Research (2008):  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 
Fields of Research (2020):  49 MATHEMATICAL SCIENCES > 4902 Mathematical physics > 490203 Mathematical aspects of classical mechanics, quantum mechanics and quantum information theory 51 PHYSICAL SCIENCES > 5107 Particle and high energy physics > 510703 Particle physics 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490109 Theoretical and applied mechanics 
URI:  http://eprints.usq.edu.au/id/eprint/5077 
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