Polynomial conservation laws of the generalized Emden-Fowler equation (Q1372521)

The authors give the general form of the fourth degree conservation laws of the generalized Emden-Fowler equation \[ \ddot x+bt^{-1} \dot x+\lambda x^\alpha t^k =0, \] where \(b,\lambda,\alpha\) and \(k\) are constants. Concrete examples are given to illustrate the theory.