Cubic nonlinear fractional Schrödinger equation with conformable derivative and its new travelling wave solutions

• Autorzy: Gündoğdu Hami , Gözükızıl Ömer Faruk

Identyfikatory

DOI

10.17512/jamcm.2021.2.03

• Języki publikacji: EN

Abstrakty

EN

In the present paper, the fractional-order cubic nonlinear Schrödinger equation is considered. The Schrödinger equation with time and space fractional derivative is studied at the same time. Different types of travelling wave solutions including the kink solution, soliton solution, periodic solution, and singular solution for the mentioned equation are obtained by using the Jacobi elliptic functions expansion method. It is shown that the solutions turn into the exact solutions when the fractional orders go to 1. This method can be relied on gaining the solutions to time or space fractional order partial differential equations as well as ordinary ones. Throughout this work, the fractional derivative is given in a conformable sense.

Słowa kluczowe

EN

cubic nonlinear fractional Schrödinger equation; travelling wave solutions; kink solution; soliton solution

PL

równanie różniczkowe zwyczajne; roztwór solitonu; równanie Schrödingera; fale biegnące

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2021
• Tom: Vol. 20, nr 2
• Strony: 29--41
• Opis fizyczny: Bibliogr. 27 poz., rys.

Twórcy

autor

Gündoğdu Hami

• Sakarya University, Faculty of Arts and Sciences, Department of Mathematics Sakarya, Turkey

autor

Gözükızıl Ömer Faruk

• Sakarya University, Faculty of Arts and Sciences, Department of Mathematics Sakarya, Turkey

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).