EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, vol.10, no.3, pp.549-565, 2020 (Journal Indexed in SCI)
Article / Article
Title of Journal :
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
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
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.