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One-parameter solutions of nonlinear second order ODEs | | M.A. Reyes
; H.C. Rosu
; | | Date: |
20 Oct 2005 | | Abstract: | It has been proven by Rosu and Cornejo that for some nonlinear second order ODE’s it is a very simple task to find one particular solution once the nonlinear equation is factorized with the use of two first order differential operators. Here, it is shown that it is a very simple task to obtain a one-parameter class of solutions if the proposed factorization has a particular form, which happily turns out to be the case in many problems of physical interest. The method consists in using the Riccati equation to find the one-parameter solutions of the problem, and it is exemplified by a few explicitly solved problems | | Source: | arXiv, math-ph/0510072 | | Services: | Forum | Review | PDF | Favorites | |
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