Cross-kink wave solutions and semi-inverse variational for the (3+1)-D potential-YTSF equation with abundant novel interaction solutions


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

East Asian Journal on Applied Mathematics, cilt.10, ss.1-19, 2020 (SCI Expanded İndekslerine Giren Dergi)

  • Cilt numarası: 10 Konu: 1
  • Basım Tarihi: 2020
  • Dergi Adı: East Asian Journal on Applied Mathematics
  • Sayfa Sayısı: ss.1-19

Özet

This paper investigates the cross-kink wave solutions for the (3+1)-dimensional potential-Yu-Toda-Sasa-Fukuyama (YTSF) equation, from its bilinear form, obtained using the Hirota operator. Also, the semi-inverse variational principle will be used for the YTSF equation. Two major cases were studied from two different ansatzes. The 3D, 2D and density representation illustrating some cases of solutions obtained have been represented from a selection of the appropriate parameters. The existence conditions are employed to discuss the available got solutions. The current work extensively used to report many attractive physical phenomena in the fields of acoustics, heat transfer, fluid dynamics, classical mechanics and so on. In the present article, we have examined the closed form soliton solutions with the assistance of the Hirota bilinear method with the assistance of the rational transformation. The form of the attained solutions are; rational, trigonometry and hyperbolic functions. We have shown that the assigned method is further general, efficient, straightforward and powerful and can be exerted to establish exact solutions of diverse kinds of fractional equations originated in mathematical physics and engineering. We have depicted the figures of the evaluated solutions in order to interpret the physical phenomena