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Journal of Nonlinear Mathematical Physics Volume 15, 2008 - Issue sup3: Nonlinear Evolution Equations and Dynamical Systems 2007
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Original Articles

Integrating Factors and λ–Symmetries

C Muriel Department of Mathematics, University of Cádiz, 11510, Puerto Real, Cádiz, Spain E-mail: [email protected]
&
J L Romero Department of Mathematics, University of Cádiz, 11510, Puerto Real, Cádiz, Spain E-mail: [email protected]
Pages 300-309 | Published online: 21 Jan 2013

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G. Gaeta. (2014) Simple and collective twisted symmetries. Journal of Nonlinear Mathematical Physics 21:4, pages 593-627.
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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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Articles from other publishers (29)

G Loaiza, Y Acevedo, OML Duque & Danilo A García Hernández. (2023) Lie algebra classification, conservation laws and invariant solutions for modification of the generalization of the Emden–Fowler equation. Physics & Astronomy International Journal 7:1, pages 26-32.
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Yu-Shan Bai, Jian-Ting Pei & Wen-Xiu Ma. (2020) λ-Symmetry and μ-Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations. Mathematics 8:7, pages 1138.
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D. Catalano Ferraioli & G. Gaeta. (2020) On the geometry of twisted symmetries: Gauging and coverings. Journal of Geometry and Physics 151, pages 103620.
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A.M. Grundland & J. de Lucas. (2019) On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications. Differential Geometry and its Applications 67, pages 101557.
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Jin Zhang. (2019) A relationship between λ ‐symmetries and first integrals for ordinary differential equations . Mathematical Methods in the Applied Sciences 42:18, pages 6139-6154.
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Tamás Kalmár-Nagy & Balázs Sándor. (2018) First Integrals and Integrating Factors of Second-Order Autonomous Systems. Journal of Computational and Nonlinear Dynamics 13:9.
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R. Mohanasubha, V.K. Chandrasekar, M. Senthilvelan & M. Lakshmanan. (2018) On the interconnections between various analytic approaches in coupled first-order nonlinear differential equations. Communications in Nonlinear Science and Numerical Simulation 62, pages 213-228.
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C. Muriel, J. L. Romero & A. Ruiz. (2017) $\lambda$ -Symmetries and integrability by quadratures. IMA Journal of Applied Mathematics 82:5, pages 1061-1087.
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Gülden Gün Polat & Teoman Özer. (2017) New Conservation Laws, Lagrangian Forms, and Exact Solutions of Modified Emden Equation. Journal of Computational and Nonlinear Dynamics 12:4.
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Gülden Gün Polat & Teoman Özer. (2016) On analysis of nonlinear dynamical systems via methods connected with $$\lambda $$ λ -symmetry. Nonlinear Dynamics 85:3, pages 1571-1595.
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Ahmad Y. Al-Dweik, M.T. Mustafa, Raed A. Mara’Beh & F.M. Mahomed. (2015) An alternative proof of Lie’s linearization theorem using a new -symmetry criterion . Communications in Nonlinear Science and Numerical Simulation 26:1-3, pages 45-51.
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R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan & M. Lakshmanan. (2015) Interconnections between various analytic approaches applicable to third-order nonlinear differential equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471:2176, pages 20140720.
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G Gaeta. (2015) Symmetry and Lie?Frobenius reduction of differential equations. Journal of Physics A: Mathematical and Theoretical 48:1, pages 015202.
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R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan & M. Lakshmanan. (2014) Interplay of symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in integrable second-order differential equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470:2163, pages 20130656.
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Gülden Gün Polat, Özlem Orhan & Teoman Özer. (2014) On New Conservation Laws of Fin Equation. Advances in Mathematical Physics 2014, pages 1-16.
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Gülden Gün Polat & Teoman Özer. (2014) On Conservation Forms and Invariant Solutions for Classical Mechanics Problems of Liénard Type. Advances in Mathematical Physics 2014, pages 1-16.
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S. V. Meleshko, S. Moyo, C. Muriel, J. L. Romero, P. Guha & A. G. Choudhury. (2013) On first integrals of second-order ordinary differential equations. Journal of Engineering Mathematics 82:1, pages 17-30.
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G Cicogna, G Gaeta & S Walcher. (2013) Dynamical systems and σ-symmetries. Journal of Physics A: Mathematical and Theoretical 46:23, pages 235204.
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Gülden Gün & Teoman Özer. (2013) First Integrals, Integrating Factors, and Invariant Solutions of the Path Equation Based on Noether and -Symmetries. Abstract and Applied Analysis 2013, pages 1-15.
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G Cicogna, G Gaeta & S Walcher. (2012) A generalization of λ-symmetry reduction for systems of ODEs: σ-symmetries. Journal of Physics A: Mathematical and Theoretical 45:35, pages 355205.
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A. Bhuvaneswari, R.A. Kraenkel & M. Senthilvelan. (2012) Application of the -symmetries approach and time independent integral of the modified Emden equation. Nonlinear Analysis: Real World Applications 13:3, pages 1102-1114.
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Emrullah Yaşar. (2012) λ ‐symmetries, nonlocal transformations and first integrals to a class of Painlevé–Gambier equations . Mathematical Methods in the Applied Sciences 35:6, pages 684-692.
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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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M.S. Bruzon, M.L. Gandarias & M. Senthilvelan. (2011) On the nonlocal symmetries of certain nonlinear oscillators and their general solution. Physics Letters A 375:33, pages 2985-2987.
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Emrullah Yaşar. (2011) Integrating Factors and First Integrals for Liénard Type and Frequency-Damped Oscillators. Mathematical Problems in Engineering 2011, pages 1-10.
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Emrullah Yaşar & Murat Reis. (2010) Application of the Jacobi method and integrating factors to a class of Painlevé–Gambier equations. Journal of Physics A: Mathematical and Theoretical 43:29, pages 295202.
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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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C Muriel & J L Romero. (2009) First integrals, integrating factors and λ-symmetries of second-order differential equations. Journal of Physics A: Mathematical and Theoretical 42:36, pages 365207.
Crossref
C. Muriel & J.L. Romero. (2008) Conserved Forms derived from Symmetries. PAMM 8:1, pages 10747-10748.
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