Complete group classification of systems of two nonlinear second-Order ordinary differential equations of the form
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- 作者：G.F. Oguisa ; gfoguis@gmail.com" class="auth_mail" title="E-mail the corresponding author ; S. Moyob ; moyos@dut.ac.za" class="auth_mail" title="E-mail the corresponding author ; S.V. Meleshko ; a ; sergey@math.sut.ac.th" class="auth_mail" title="E-mail the corresponding author
- 关键词：Group classification ; Autonomous systems ; Nonlinear systems ; Admitted lie group
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：44
- 期：Complete
- 页码：318-333
- 全文大小：534 K
文摘
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A complete group classification of systems of two autonomous nonlinear second-order ordinary differential equations is given.
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Classification was done using two approaches depending on the coefficient of the infinitesimal generator.
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The direct approach was used to compute for the case where at least one admitted generator with ξ′′ ≠ 0.
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Optimal system of subalgebras was used for the case where for all admitted generator method=retrieve&_eid=1-s2.0-S1007570416302982&_mathId=si49.gif&_user=111111111&_pii=S1007570416302982&_rdoc=1&_issn=10075704&md5=18294b6e551e26ec4dd357365ac7691d" title="Click to view the MathML source">ξ′′=0.