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arxiv: math-ph/0504055 · v3 · submitted 2005-04-18 · 🧮 math-ph · math.MP

Nonlinear second order ODE's: Factorizations and particular solutions

classification 🧮 math-ph math.MP
keywords solutionsparticularequationsgeneralizednonlinearordersecondburgers-huxley
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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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