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Nonlinear second order ODE's: Factorizations and particular solutions

O. Cornejo-Perez, H. C. Rosu

math-pharXiv:math-ph/0504055

Abstract

We present particular solutions for the following important nonlinear second order differential equations: modified Emden, generalized Lienard, convective Fisher, and generalized Burgers-Huxley. For the latter two equations these solutions are obtained in the travelling frame. All these particular solutions are the result of extending a simple and efficient factorization method that we developed in Phys. Rev. E 71 (2005) 046607

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