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Volumn 30, Issue 21, 1997, Pages 7437-7461

On the singularity analysis of ordinary differential equations invariant under time translation and rescaling

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EID: 0031558701     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/21/017     Document Type: Article
Times cited : (71)

References (16)
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    • Ablowitz M J, Ramani A and Segur H 1978 Nonlinear evolution equations and ordinary differential equations of Painlevé Type Lett. Nouvo Cimento 23 333-7 Ablowitz M J, Ramani A and Segur H 1980 A connection between nonlinear evolution equations and ordinary differential equations of H type. I. J. Math. Phys. 21 715-21 Ablowitz M J, Ramani A and Segur H 1980 A connection between nonlinear evolution equations and ordinary differential equations of P type. II. J. Math. Phys. 21 1006-15
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    • A connection between nonlinear evolution equations and ordinary differential equations of P type. II
    • Ablowitz M J, Ramani A and Segur H 1978 Nonlinear evolution equations and ordinary differential equations of Painlevé Type Lett. Nouvo Cimento 23 333-7 Ablowitz M J, Ramani A and Segur H 1980 A connection between nonlinear evolution equations and ordinary differential equations of H type. I. J. Math. Phys. 21 715-21 Ablowitz M J, Ramani A and Segur H 1980 A connection between nonlinear evolution equations and ordinary differential equations of P type. II. J. Math. Phys. 21 1006-15
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    • Differential equations with fixed critical points
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    • Bureau, F.J.1
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    • Sur les équations différentielles du troisième ordre et d' ordre supérieur dont l' intégrale générale a ses points critiques fixes
    • Chazy J 1910-11 Sur les équations différentielles du troisième ordre et d' ordre supérieur dont l' intégrale générale a ses points critiques fixes Acta Math. 34 317-85
    • (1910) Acta Math. , vol.34 , pp. 317-385
    • Chazy, J.1
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    • Analysing negative resonances in the PT
    • Fordy A and Pickering A 1991 Analysing negative resonances in the PT Phys. Lett. A 160 347-54
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    • Fordy, A.1    Pickering, A.2
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    • On the determination of nonlocal symmetries
    • Govinder K S and Leach PGL 1995 On the determination of nonlocal symmetries J Phys. A: Muth. Gen. 28 5349-59
    • (1995) J Phys. A: Muth. Gen. , vol.28 , pp. 5349-5359
    • Govinder, K.S.1    Leach, P.G.L.2
  • 10
    • 0009156896 scopus 로고    scopus 로고
    • Connection between the existence of first integrals and the Painlevé property in two-dimensional Lotka-Vollerra and quadratic systems
    • Hua D D, Cairó L, Feix M R, Govinder K S and Leach P G L 1996 Connection between the existence of first integrals and the Painlevé property in two-dimensional Lotka-Vollerra and quadratic systems Proc. R. Soc. A 452 859-80
    • (1996) Proc. R. Soc. A , vol.452 , pp. 859-880
    • Hua, D.D.1    Cairó, L.2    Feix, M.R.3    Govinder, K.S.4    Leach, P.G.L.5
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    • Leach PGL, Feix M R and Bouquet S 1988 Analysis and solution ol a nonlinear second order differential equation through rescaling and through a dynamical point of view J. Math. Phys. 29 2563-9
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    • Universidad Federal do Rio de Janeiro, Instituto de Física, Cidade Universitaria - Ilha do Fundaõ, Rio de Janeiro - CEP: 21, 944-RJ, Brasil
    • Moreira I de C 1983 Comments on a direct approach Io finding exact invariants for one dimensional time dependent classical Hamiltonians Research Research Report IF/UFRJ/83/25, Universidad Federal do Rio de Janeiro, Instituto de Física, Cidade Universitaria - Ilha do Fundaõ, Rio de Janeiro - CEP: 21, 944-RJ, Brasil
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.