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Gepreel, Khaled A.

Improved general mapping deformation method for nonlinear partial differential equations in mathematical physics. (English) Zbl 1271.35067

J. Appl. Math. 2013, Article ID 258396, 9 p. (2013).
Summary: We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical physics via the generalized nonlinear Klein-Gordon equation and the classical Boussinesq equations. As a result, some new generalized Jacobi elliptic function-like solutions are obtained by using this method. This method is more powerful to find the exact solutions for nonlinear partial differential equations.

MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
35G20 Nonlinear higher-order PDEs
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\textit{K. A. Gepreel}, J. Appl. Math. 2013, Article ID 258396, 9 p. (2013; Zbl 1271.35067)
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