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He’s Semi-Inverse Method and Ansatz Approach to look for Topological and Non-Topological Solutions Generalized Nonlinear Schrödinger Equation |
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PP: 23-27 |
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Author(s) |
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Mohammad Mirzazadeh,
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Abstract |
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| This paper obtains the exact 1-soliton solutions to generalized nonlinear Schr¨odinger equation. Nonlinear Schr¨odinger
equation has been widely applied in many branches of nonlinear sciences such as nonlinear optics, nonlinear optical fibers and quantum
mechanics. So, finding exact solutions of such equations are very helpful in the theories and numerical studies. In this paper, the He’s
semi-inverse method and the ansatz method are used to establish new exact solutions of generalized nonlinear Schr¨odinger equation.
The results reveal that these methods are very effective and powerful tool for solving nonlinear fractional differential equations arising
in mathematical physics. |
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