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, vol.10, no.3, pp.549-565, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.4208/eajam.091119.140220
  • Title of Journal : EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
  • Page Numbers: pp.549-565
  • Keywords: 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

Abstract

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.