Multiple Lump Novel and Accurate Analytical and Numerical Solutions of the Three-Dimensional Potential Yu–Toda–Sasa–Fukuyama Equation

Symmetry

MostafaM. A. Khater¹  MohamedS. Mohamed²  Dumitru Baleanu³ 

[1] Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China;Department of Mathematics, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia;Institute of Space Sciences, Magurele-Bucharest 77125, Romania;

关键词: three–dimensional potential Yu–Toda–Sasa–Fukuyama (3-Dp-YTSF) equation;    Analytical;    semi-analytical;    numerical solutions;   

DOI  :  10.3390/sym12122081

来源: DOAJ

【 摘 要 】

The accuracy of novel lump solutions of the potential form of the three–dimensional potential Yu–Toda–Sasa–Fukuyama (3-Dp-YTSF) equation is investigated. These solutions are obtained by employing the extended simplest equation (ESE) and modified Kudryashov (MKud) schemes to explore its lump and breather wave solutions that characterizes the dynamics of solitons and nonlinear waves in weakly dispersive media, plasma physics, and fluid dynamics. The accuracy of the obtained analytical solutions is investigated through the perspective of numerical and semi-analytical strategies (septic B-spline (SBS) and variational iteration (VI) techniques). Additionally, matching the analytical and numerical solutions is represented along with some distinct types of sketches. The superiority of the MKud is showed as the fourth research paper in our series that has been beginning by Mostafa M. A. Khater and Carlo Cattani with the title “Accuracy of computational schemes”. The functioning of employed schemes appears their effectual and ability to apply to different nonlinear evolution equations.

【 授权许可】

Unknown