Conservation laws of two coupled non-linear oscillators
Conservation laws of two coupled non-linear oscillators
This paper presents a novel approach to obtaining a complete set of time-dependent expressions for approximate conservation laws of two weakly non-linear coupled oscillators. The procedure developed for a non-resonant case is based on the field method concept of deriving a conservation law from an incomplete solution of a partial differential equation. Due to the non-linearity of the system being considered, this concept is combined with the multiple variable expansion procedure.
conservation laws, weak non-linearity, field method, incomplete solution, approximate solution
751-760
Kovacic, Ivana
a84bc948-5aa9-444f-8a58-12a731808a20
2006
Kovacic, Ivana
a84bc948-5aa9-444f-8a58-12a731808a20
Abstract
This paper presents a novel approach to obtaining a complete set of time-dependent expressions for approximate conservation laws of two weakly non-linear coupled oscillators. The procedure developed for a non-resonant case is based on the field method concept of deriving a conservation law from an incomplete solution of a partial differential equation. Due to the non-linearity of the system being considered, this concept is combined with the multiple variable expansion procedure.
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Published date: 2006
Keywords:
conservation laws, weak non-linearity, field method, incomplete solution, approximate solution
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Local EPrints ID: 43513
URI: http://eprints.soton.ac.uk/id/eprint/43513
ISSN: 0020-7462
PURE UUID: 4b54e7c4-f5c8-4bc2-b712-f5ad18ccbd5a
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Date deposited: 30 Jan 2007
Last modified: 15 Mar 2024 08:55
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Author:
Ivana Kovacic
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