Cross-Kink Wave Solutions and Semi-Inverse Variational Method for (3+1)-Dimensional Potential-YTSF Equation

Manafian J., İLHAN O. A., Ali K. K., Mohammed S. A.

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, cilt.10, sa.3, ss.549-565, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.4208/eajam.091119.140220
  • Dergi Adı: EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.549-565
  • Anahtar Kelimeler: Potential-Yu-Toda-Sasa-Fukuyama equation, Hirota bilinear operator method, semi-inverse variational principle, cross-kink wave solution, existence conditions, DIFFERENTIAL-EQUATIONS, SOLITON-SOLUTIONS, LUMP SOLUTIONS, FORM
  • Erciyes Üniversitesi Adresli: Evet

Özet

Periodic wave solutions of (3 + 1)-dimensional potential-Yu-Toda-Sasa-Fukuyama (YTSF) equation are constructed. Using the bilinear form of this equation, we chose ansatz as a combination of rational, trigonometric and hyperbolic functions. Density graphs of certain solutions in 3D and 2D situations show different cross-kink waveforms and new multi wave and cross-kink wave solutions. Moreover, we employ the semi-inverse variational principle (SIVP) in order to study the solitary, bright and dark soliton wave solutions of the YTSF equation.