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Journal of Nonlinear Mathematical Physics Volume 9, 2002 - Issue sup1: Recent Advances in Integrable Systems
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Original Articles

New Symmetry Reductions for some Ordinary Differential Equations

M L Gandarias Departamento de Matemáticas, Universidad de Cádiz, PO.BOX 40, 11510 Puerto Real, Cádiz, Spain
,
E Medina Departamento de Matemáticas, Universidad de Cádiz, PO.BOX 40, 11510 Puerto Real, Cádiz, Spain
&
C Muriel Departamento de Matemáticas, Universidad de Cádiz, PO.BOX 40, 11510 Puerto Real, Cádiz, Spain
Pages 47-58 | Received 30 Apr 2001, Accepted 26 Jul 2001, Published online: 21 Jan 2013

Citations (13)

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Read on this site (4)

Diego Catalano Ferraioli & Paola Morando. (2014) Integration of some examples of geodesic flows via solvable structures. Journal of Nonlinear Mathematical Physics 21:4, pages 521-532.
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M. L. GANDARIAS & M. S. BRUZÓN. (2011) REDUCTIONS FOR SOME ORDINARY DIFFERENTIAL EQUATIONS THROUGH NONLOCAL SYMMETRIES. Journal of Nonlinear Mathematical Physics 18:sup1, pages 123-133.
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GIUSEPPE GAETA. (2009) TWISTED SYMMETRIES OF DIFFERENTIAL EQUATIONS. Journal of Nonlinear Mathematical Physics 16:sup1, pages 107-136.
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DIEGO CATALANO FERRAIOLI & PAOLA MORANDO. (2009) APPLICATIONS OF SOLVABLE STRUCTURES TO THE NONLOCAL SYMMETRY-REDUCTION OF ODEs. Journal of Nonlinear Mathematical Physics 16:sup1, pages 27-42.
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Articles from other publishers (9)

M. S. Bruzon, M. L. Gandarias & M. Senthilvelan. (2012) Nonlocal symmetries of Riccati and Abel chains and their similarity reductions. Journal of Mathematical Physics 53:2.
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GIUSEPPE GAETA & GIAMPAOLO CICOGNA. (2011) TWISTED SYMMETRIES AND INTEGRABLE SYSTEMS. International Journal of Geometric Methods in Modern Physics 06:08, pages 1305-1321.
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M. L. Gandarias. (2009) Nonlocal symmetries and reductions for some ordinary differential equations. Theoretical and Mathematical Physics 159:3, pages 779-786.
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D Catalano Ferraioli & P Morando. (2009) Local and nonlocal solvable structures in the reduction of ODEs. Journal of Physics A: Mathematical and Theoretical 42:3, pages 035210.
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М Л Гандариас & M L Gandarias. (2009) Нелокальные симметрии и редукции для некоторых обыкновенных дифференциальных уравненийNonlocal symmetries and reductions for some ordinary differential equations. Теоретическая и математическая физика Teoreticheskaya i Matematicheskaya Fizika 159:3, pages 428-437.
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Giampaolo Cicogna. (2008) Reduction of systems of first-order differential equations via Λ-symmetries. Physics Letters A 372:20, pages 3672-3677.
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P Morando. (2007) Deformation of Lie derivative and μ-symmetries. Journal of Physics A: Mathematical and Theoretical 40:38, pages 11547-11559.
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Giampaolo Cicogna, Giuseppe Gaeta & Paola Morando. (2004) On the relation between standard and  -symmetries for PDEs. Journal of Physics A: Mathematical and General 37:40, pages 9467-9486.
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Giuseppe Gaeta & Paola Morando. (2004) On the geometry of lambda-symmetries and PDE reduction. Journal of Physics A: Mathematical and General 37:27, pages 6955-6975.
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