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Comparison of Different Approaches to Construct First Integrals for Ordinary Differential Equations
Abstract and Applied Analysis, 2014 Different approaches to construct first integrals for ordinary differential equations and systems of ordinary differential equations are studied here. These approaches can be grouped into three categories: direct methods, Lagrangian or partial Lagrangian
Rehana Naz +2 more
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Meromorphic Non-Integrability of Several 3D Dynamical Systems
Entropy, 2017 In this paper, we apply the differential Galoisian approach to investigate the meromorphic non-integrability of a class of 3D equations in mathematical physics, including Nosé–Hoover equations, the Lü system, the Rikitake-like system and Rucklidge ...
Kaiyin Huang, Shaoyun Shi, Wenlei Li
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On a Class of Integrable Systems with a Cubic First Integral [PDF]
Communications in Mathematical Physics, 2010 A few years ago Selivanova gave an existence proof for some integrable models, in fact geodesic flows on two dimensional manifolds, with a cubic first integral. However the explicit form of these models hinged on the solution of a nonlinear third order ordinary differential equation which could not be obtained.
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A non-conventional discontinuous Lagrangian for viscous flow [PDF]
Royal Society Open Science, 2017 Drawing an analogy with quantum mechanics, a new Lagrangian is proposed for a variational formulation of the Navier–Stokes equations which to-date has remained elusive.
M. Scholle, F. Marner
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On the topology of foliations with a first integral [PDF]
Boletim da Sociedade Brasileira de Matem�tica, 2000 31 ...
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Darboux and rational first integrals for a family of cubic three dimensional system
Zanco Journal of Pure and Applied Sciences, 2021 In this paper, we investigate the first integrals of the following system where and , . This kind of system is a special case of three-dimensional polynomial cubic differential systems.
Sarbast H. Mikaeel , Azad I. Amen
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On foliations with rational first integral [PDF]
Proyecciones (Antofagasta), 2017 We use the Kodaira’s classification of relatively minimal elliptic fi- brations to prove that a holomorphic foliation in CP2 with a dicritical compact elliptic curve has rational first integral.
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An Ostrowski Type Inequality for Double Integrals and Applications for Cubature Formulae [PDF]
, 2001 An inequality of the Ostrowski type for double integrals and applications in Numerical Analysis in connection with cubature formulae are ...
Dragomir, Sever S, Barnett, Neil S
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Noetherian first integrals [PDF]
Journal of Nonlinear Mathematical Physics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leach, P. G. L., Flessas, G. P.
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On the generic nonexistence of first integrals [PDF]
Proceedings of the American Mathematical Society, 1986 The property of having no C n {C^n}
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