Modified Method of Simplest Equation Applied to the Nonlinear Schrödinger Equation

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Abstract

We consider an extension of the methodology of the modified method of simplest equation to the case of use of two simplest equations. The extended methodology is applied for obtaining exact solutions of model nonlinear partial differential equations for deep water waves: the nonlinear Schrödinger equation. It is shown that the methodology works also for other equations of the nonlinear Schrödinger kind.

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Journal of Theoretical and Applied Mechanics

The Journal of Institute of Mechanics of Bulgarian Academy of Sciences

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CiteScore 2017: 1.14

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