An Application of Simplest Equations Method to Nonlinear Equations of Schrödinger Kind

New Trends in the Applications of Differential Equations in Sciences(2023)

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摘要
In this study, we apply the Simplest Equations Method (SEsM) to obtain the exact solution of equation which is connected to the nonlinear Equation of Schrödinger. We use a specific case of SEsM which is based on the use of two simple equations. By means of the first simple equation, we construct a complex exponential function. The solution of the second simple equation is derived by applying the classical modified method of the simplest equation.
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关键词
Simple equations method (SEsM), Nonlinear equation of Schrödinger
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