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

Marwan Alquran, et al. "Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system." Waves, Wavelets and Fractals 3.1 (2017): 31-39. <http://eudml.org/doc/288143>.

@article{MarwanAlquran2017,
abstract = {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.},
author = {Marwan Alquran, Kamel Al-Khaled, Mohammed Ali, Omar Abu Arqub},
journal = {Waves, Wavelets and Fractals},
keywords = {Fractional Hirota-Satsuma system; Caputo derivative; Approximate solutions; Generalized Taylor series; Residual power series},
language = {eng},
number = {1},
pages = {31-39},
title = {Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system},
url = {http://eudml.org/doc/288143},
volume = {3},
year = {2017},
}

TY - JOUR
AU - Marwan Alquran
AU - Kamel Al-Khaled
AU - Mohammed Ali
AU - Omar Abu Arqub
TI - Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system
JO - Waves, Wavelets and Fractals
PY - 2017
VL - 3
IS - 1
SP - 31
EP - 39
AB - 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.
LA - eng
KW - Fractional Hirota-Satsuma system; Caputo derivative; Approximate solutions; Generalized Taylor series; Residual power series
UR - http://eudml.org/doc/288143
ER -