On Survey of the Some Wave Solutions of the Non-Linear Schrödinger Equation (NLSE) in Infinite Water Depth

Tuğba Tazgan; Ercan Celık; Gülnur Yel; Hasan Bulut

doi:10.35378/gujs.1016160

Research Article

On Survey of the Some Wave Solutions of the Non-Linear Schrödinger Equation (NLSE) in Infinite Water Depth

Year 2023, , 819 - 843, 01.06.2023

Tuğba Tazgan Ercan Celık , Gülnur Yel , Hasan Bulut

https://doi.org/10.35378/gujs.1016160

Cited By: 8

Abstract

In this work, we use two different analytic schemes which are the Sine-Gordon expansion technique and the modified exp -expansion function technique to construct novel exact solutions of the non-linear Schrödinger equation, describing gravity waves in infinite deep water, in the sense of conformable derivative. After getting various travelling wave solutions, we plot 3D, 2D and contour surfaces to present behaviours obtained exact solutions.

Keywords

The sine-gordon expansion technique, The modified exp -expansion function technique, Conformable derivative, Non-linear schrödinger equation (NLSE)

Supporting Institution

Project Number

Thanks

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