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Application of first integral method to some special nonlinear partial differential equations |
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PP: 89-95 |
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Author(s) |
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N. Taghizadeh,
M. Mirzazadeh,
A. Samiei Paghaleh,
A. Samiei Paghaleh,
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Abstract |
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| In this present work, we explore the application of the first integral method to some special nonlinear partial differential
equations. The power of this manageable method is confirmed by applying it for three selected nonlinear partial differential equations.
By using this method, we found some exact solutions of the Tzitzeica-Dodd-Bullough equation and nonlinear Klein-Gordon equation
with power law nonlinearity and generalized nonlinear heat conduction equation and the BBM-like B (2,2) equation. The first integral
method can be applied to nonintegrable equations as well as to integrable ones. This method is based on the theory of commutative
algebra |
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