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, ss.549-565, 2020 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 10 Konu: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.4208/eajam.091119.140220
  • Dergi Adı: EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.549-565

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.