TY - JOUR
T1 - Cross-Kink Wave Solutions and Semi-Inverse Variational Method for (3 + 1)-Dimensional Potential-YTSF Equation
AU - Manafian , Jalil
AU - Alp Ílhan , Onur
AU - K. Ali , Karmina
AU - Abid Mohammed , Sizar
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 549
EP - 565
PY - 2020
DA - 2020/06
SN - 10
DO - http://doi.org/10.4208/eajam.091119.140220
UR - https://global-sci.org/intro/article_detail/eajam/16982.html
KW - Potential-Yu-Toda-Sasa-Fukuyama equation, Hirota bilinear operator method, semi-inverse variational principle, cross-kink wave solution, existence conditions.
AB - <p style="text-align: justify;">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.</p>