Extraction of Deeper Properties of the Conformable Gross–Pitaevskii Equation via Two Powerful Approaches

Authored by: Haci Mehmet Baskonus , Gulnur Yel , Hasan Bulut , Fayık Değirmenci

Handbook of Fractional Calculus for Engineering and Science

Print publication date:  February  2022
Online publication date:  February  2022

Print ISBN: 9781032047799
eBook ISBN: 9781003263517
Adobe ISBN:

10.1201/9781003263517-11

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Abstract

This chapter focuses on the extraction of traveling wave solutions to the conformable Gross–Pitaevskii equation. Two powerful methods, the sine-Gordon expansion method and the modified exponential function method, are used. Many entirely new traveling wave solutions to the governing model are extracted. A software package is used to plot various simulations of the solutions obtained with suitably chosen parameter values.

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