Computational and Numerical Solutions for 2+1-Dimensional Integrable Schwarz–Korteweg–de Vries Equation with Miura Transform. (14th September 2020)

• Record Type: Journal Article
• Authors: Attia, Raghda A. M.; Alfalqi, S. H.; Alzaidi, J. F.; Khater, Mostafa M. A.; Lu, Dianchen
• Other Names: Gavriluţ Alina Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-09-14
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/2394030
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This paper investigates the analytical, semianalytical, and numerical solutions of the 2 + 1 –dimensional integrable Schwarz–Korteweg–de Vries (SKdV) equation. The extended simplest equation method, the sech-tanh method, the Adomian decomposition method, and cubic spline scheme are employed to obtain distinct formulas of solitary waves that are employed to calculate the initial and boundary conditions. Consequently, the numerical solutions of this model can be investigated. Moreover, their stability properties are also analyzed. The solutions obtained by means of these techniques are compared to unravel relations between them and their characteristics illustrated under the suitable choice of the parameter values.