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.24, sa.1, ss.185-200, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1515/ijnsns-2020-0153
  • Dergi Adı: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.185-200
  • Anahtar Kelimeler: biological model, fractional complex transformation, fractional differential equations, new generalized (G ' G/)-expansion, ZK equation, ZAKHAROV-KUZNETSOV EQUATIONS, 1ST INTEGRAL METHOD, SPACE, MODEL
  • Erciyes Üniversitesi Adresli: Evet

Özet

The time-fractional generalized biological population model and the (2, 2, 2) Zakharov-Kuznetsov (ZK) equation are significant modeling equations to analyse 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 analysed 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.