Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system
Marwan Alquran ; Kamel Al-Khaled ; Mohammed Ali ; Omar Abu Arqub
Waves, Wavelets and Fractals, Tome 3 (2017), p. 31-39 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2017-01-01
EUDML-ID : urn:eudml:doc:288143 
@article{bwmeta1.element.doi-10_1515_wwfaa-2017-0003,
     author = {Marwan Alquran and Kamel Al-Khaled and Mohammed Ali and Omar Abu Arqub},
     title = {Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system},
     journal = {Waves, Wavelets and Fractals},
     volume = {3},
     year = {2017},
     pages = {31-39},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2017-0003}
}

Marwan Alquran; Kamel Al-Khaled; Mohammed Ali; Omar Abu Arqub. Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system. Waves, Wavelets and Fractals, Tome 3 (2017) pp. 31-39. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2017-0003/