Explicit and exact solutions to cubic Duffing and double-well Duffing equations

Authors:
Vasile Marinca;Nicolae HerişAnu
Affiliations:
-;-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2011

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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.