Abstract

GUNERHAN, H.. Optical soliton solutions of nonlinear Davey-Stewartson equation using an efficient method. Rev. mex. fis. [online]. 2021, vol.67, n.6, 060702.  Epub Mar 14, 2022. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.67.060702.

One of the most significant tools for expressing physical phenomena in the world around us is to express problems using differential equations with partial derivatives. The result of these considerations has been the invention and application of various analytical and numerical methods in solving this category of equations. In this work, we make use of a newly-developed technique called the generated exponential rational function method to compute the exact solution of the Davey-Stewartson equation. According to all the conducted research studies so far, results similar to those found in the present paper have not been published. The results attest to the efficiency of the proposed method. The method used in this paper has the ability to be implemented in other cases in solving equations with relative derivatives.

Keywords : Generalized exponential rational function method; exact soliton solutions; Davey-Stewartson equation; optical solutions; nonlinear partial differential equations.

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