EMDEN-FOWLER TYPE SYSTEM: NOETHER SYMMETRIES AND FIRST INTEGRALS

doi:10.1016/S0252-9602(12)60152-0

Abstract

Abstract:

We classify a generalized coupled singular Emden-Fowler type system ¨u +a(t)vⁿ = 0, ¨v + b(t)u^m = 0 with respect to the standard first-order Lagrangian according to the Noether point symmetries which it admits. First integrals of the various cases which admit Noether point symmetries are then obtained. This system was discussed in the literature from the view-point of existence and uniqueness of positive solutions.

Key words: Lagrangian, Noether symmetry, first integrals, Emden-Fowler type system, Gauge function

CLC Number:

34C15

B. Muatjetjeja, C. M. Khalique. EMDEN-FOWLER TYPE SYSTEM: NOETHER SYMMETRIES AND FIRST INTEGRALS[J].Acta mathematica scientia,Series B, 2012, 32(5): 1959-1966.

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