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Modified Simple Equation Method and its Applications to Nonlinear Partial Differential Equations |
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PP: 1-9 |
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Author(s) |
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M. Mirzazadeh,
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Abstract |
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| In this paper, the modified simple equation method is used to construct exact periodic and soliton solutions of some nonlinear
partial differential equations. Exact solutions of the nonlinear Schršodinger equation, the Hamiltonian amplitude equation, Klein-Gordon
equation in 1+2 dimension, the coupled Klein-Gordon equation, the (2 + 1)-dimensional long-wave-short-wave resonance interaction
equation, the modified KdV-KP equation and the modified Benjamin-Bona-Mahony equation are successfully obtained. These solutions
may be important of significance for the explanation of some practical physical problems. |
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