Functional Variable Method for conformable fractional modified KdV-ZK equation and Maccari system
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
TBILISI CENTRE MATH SCI
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Modeling the motion and propagation characteristics of waves have importance in coastal, ocean and maritime engineering. Especially, waves are the major source of environmental actions on beaches or on man-made fixed or floating structures in most, geographical areas. So Maccari system has great application in mentioned areas. The modified KdV is ion acoustic perturbations evolution model in a plasma with two negative ion components which have different temperatures. As for the KdV equation, the modified ZK (mZK) equation arises naturally as weakly two-dimensional variations of the mKdV equation. hi this paper authors used functional variable method(FVM) for the first time to obtain exact travelling wave and soliton solutions of conformable fractional modified KdV-Zakharov-Kuznetsov(mKdv-ZK) equation and Maccari system. As a consequence, new solutions are obtained and it is seen that FVM is an valuable and efficient tool for solving nonlinear equations and systems where the derivatives defined by means of conformable fractional derivative.
Açıklama
Anahtar Kelimeler
Functional Variable Method, KdV-Zakharov-Kuznetsov Equation, Maccari System, Conformable Fractional Derivative
Kaynak
TBILISI MATHEMATICAL JOURNAL
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
10
Sayı
1
