Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system

• Autorzy: Marwan Alquran , Kamel Al-Khaled , Mohammed Ali , Omar Abu Arqub
• Języki publikacji: EN

Abstrakty

EN

The Hirota-Satsuma model with fractional derivative is considered to provide some characteristics of memory embedded into the system. The modified system is analyzed analytically using a new technique called residual power series method. We observe thatwhen the value of memory index (time-fractional order) is close to zero, the solutions bifurcate and produce a wave-like pattern.

Słowa kluczowe

EN

Fractional Hirota-Satsuma system; Caputo derivative; Approximate solutions; Generalized Taylor series; Residual power series

• Wydawca: De Gruyter Open
• Czasopismo: Waves, Wavelets and Fractals
• Rocznik: 2017
• Tom: 3
• Numer: 1
• Strony: 31-39

Daty

wydano

2017-04-01

otrzymano

2016-04-12

zaakceptowano

2017-03-06

online

2017-04-27

Twórcy

autor

Marwan Alquran

• Department of Mathematics, Jordan University of Science and Technology, Irbid 22110,

autor

Kamel Al-Khaled

• Department of Mathematics, Jordan University of Science and Technology, Irbid 22110,

autor

Mohammed Ali

• Department of Mathematics, Jordan University of Science and Technology, Irbid 22110,

autor

Omar Abu Arqub

• Department of Mathematics, Al Balqa Applied University, Al Salt,

Identyfikatory

DOI

10.1515/wwfaa-2017-0003