Explicit and exact solutions to cubic Duffing and double-well Duffing equations |
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| Authors: | Vasile Marinca Nicolae Herişanu |
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| Institution: | Politehnica University of Timi?oara, Bd.Mihai Viteazu, nr. 1, 300222 Timi?oara, Romania;Center for Advanced and Fundamental Technical Research, Romanian Academy, Timisoara Branch, Bd. M.Viteazu, nr. 24, 300223 Timi?oara, Romania |
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| Abstract: | In this paper, a kind of explicit exact solution of nonlinear differential equations is obtained using a new approach applied in this case to look for exact solutions of the Duffing and double-well Duffing equations. The new proposed procedure is applied by using a quotient trigonometric function expansion method. The method can also be easily applied to solve other nonlinear differential equations. |
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