A Group Theoretical Identification of Integrable Cases of the Li\'{e}nard Type Equation \(\ddot{x}+f...
A Group Theoretical Identification of Integrable Cases of the Li\'{e}nard Type Equation \(\ddot{x}+f(x)\dot{x}+g(x) = 0\) : Part I: Equations having Non-maximal Number of Lie point Symmetries
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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We carry out a detailed Lie point symmetry group classification of the Liénard type equation, \(\ddot{x}+f(x)\dot{x}+g(x) = 0\), where \(f(x)\) and \(g(x)\) are arbitrary smooth functions of \(x\). We divide our analysis into two parts. In the present first part we isolate equations that admit lesser parameter Lie point symmetries, namely, one, two...
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A Group Theoretical Identification of Integrable Cases of the Li\'{e}nard Type Equation \(\ddot{x}+f(x)\dot{x}+g(x) = 0\) : Part I: Equations having Non-maximal Number of Lie point Symmetries
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TN_cdi_proquest_journals_2081266577
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2081266577
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2331-8422
DOI
10.48550/arxiv.0907.5475
