Nonlinear second order ODE's: Factorizations and particular solutions

Details Nonlinear second order ODE's: Factorizations and particular solutions Nonlinear second order ODE's: Factorizations and particular solutions

2005-04-18

arxiv.org/abs/math-ph/0504055v3

Prog. Theor. Phys. 114 (Sept. 2005) 533-538

Physics

Mathematical Physics

6 pages, v3=published version

Scientific paper

10.1143/PTP.114.533

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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