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Start Over Author "Baskonus, Haci Mehmet" Search Limiters Peer Reviewed Topic analytical solutions Topic mathematical physics Topic nonlinear partial differential operators
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1. New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics.

Author

Baskonus, Haci Mehmet and Bulut, Hasan

Subjects
*HYPERBOLIC functions, *NONLINEAR partial differential operators, *MATHEMATICAL physics, *ANALYTICAL solutions, *GEODESICS
Abstract

In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin-Bona-Mahony equation and the (2 + 1)-dimensional cubic Klein-Gordon equation by using the generalized Kudryashov method. After we submitted the general properties of the generalized Kudryashov method in Section 2, we applied this method to these problems to obtain some new analytical solutions, such as rational function solutions, exponential function solutions and hyperbolic function solutions in Section 3. Afterwards, we draw two- and three-dimensional surfaces of analytical solutions by using Wolfram Mathematica 9. [ABSTRACT FROM AUTHOR]

Published
2015
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