Weyl's Lagrangian in teleparallel form
The Weyl Lagrangian is the massless Dirac Lagrangian. The dynamical variable in the Weyl Lagrangian is a spinor field. We provide a mathematically equivalent representation in terms of a different dyn...
The Weyl Lagrangian is the massless Dirac Lagrangian. The dynamical variable in the Weyl Lagrangian is a spinor field. We provide a mathematically equivalent representation in terms of a different dyn...
A group theoretical identification of integrable equations in the Liénard-type equation 
+f(x)
+g(x)=0. II. Equations having maximal Lie point symmetries
In this second of the set of two papers on Lie symmetry analysis of a class of Liénard-type equation of the form +f(x)+g(x)=0, where overdot denotes differentiation with respect to time and f(x...
In this second of the set of two papers on Lie symmetry analysis of a class of Liénard-type equation of the form +f(x)+g(x)=0, where overdot denotes differentiation with respect to time and f(x...
Determination of elementary first integrals of a generalized Raychaudhuri equation by the Darboux integrability method
J. Math. Phys. 50, 102502 (2009); doi:10.1063/1.3243455
Published 23 October 2009
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The Darboux integrability method is particularly useful to determine first integrals of nonplanar autonomous systems of ordinary differential equations, whose associated vector fields are polynomials. In particular, we obtain first integrals for a variant of the generalized Raychaudhuri equation, which has appeared in string inspired modern cosmology.
©2009 American Institute of Physics
| History: | Received 27 May 2009; accepted 3 September 2009; published 23 October 2009 |
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