Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 12, Issue 2, Pages 1202-1212Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2010.09.013
Keywords
Lagrangian; Noether operators; First integrals; Lane-Emden system; Gauge function
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We classify a generalized coupled Lane-Emden system tu + nu + tf (t)v(q) = 0, tv + n(v) over dot + tf (t)u(p) = 0 with respect to the standard first-order Lagrangian according to the Noether point symmetries it admits. First integrals of the various cases which admit Noether point symmetries are then obtained for the generalized coupled Lane-Emden system under consideration. (C) 2010 Elsevier Ltd. All rights reserved.
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