Stable Soliton Solutions to the Time Fractional Evolution Equations in Mathematical Physics Via the New Generalized ( 𝑮 ′ ⁄ 𝑮 )-Expansion Method

İlhan O. A. , Baskonus H. M. , Islam M. N. , Akbar M. A. , Soybaş D.

International Journal Of Nonlinear Sciences And Numerical Simulation, cilt.2, sa.2, ss.1-20, 2021 (SCI Expanded İndekslerine Giren Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2 Konu: 2
  • Basım Tarihi: 2021
  • Dergi Adı: International Journal Of Nonlinear Sciences And Numerical Simulation
  • Sayfa Sayıları: ss.1-20


Kabul Edildi.

The time -fractional generalized biological population model and the (2, 2, 2) Zakharov -Kuznetsov (ZK) equation are significant modeling equation to analyze biological population, ion -acoustic waves in plasma, electromagnetic waves, viscoelasticity waves, material science, probability and statistics , signal processing , etc. The new generalized ( 𝐺 ′ ⁄ 𝐺 ) -expansion method is consistent, computer algebra friendly, worthwhile through yielding closed -form general soliton solutions in terms of trigonometric, rational and hyperbolic functions associated to subjective parameters. For the definite values of the parameters, some well -established and advanced solutions are accessible from the general solution. The solutions have been analyzed by means of diagrams to understand the intricate internal structures . It can be asserted that , the method can be used to compute solitary wave solutions to other fractional nonlinear differential equations by means of fractional complex transformation.