Ample soliton waves for the crystal lattice formation of the conformable time-fractional (N + 1) Sinh-Gordon equation by the modified Khater method and the Painlevé property

Issue title: Mathematical Modelling in Computational and Life Sciences

Guest editors: Ahmed Farouk

Article type: Research Article

Authors: Qin, Haiyong^{a; b} | Attia, Raghda A.M.^{c; d} | Khater, Mostafa M.A.^{c; *} | Lu, Dianchen^c

Affiliations: [a] School of Control Science and Engineering, Shandong University, Jinan, Shandong, China | [b] School of Mathematics, Qilu Normal University, Jinan, Shandong Province, China | [c] Department of Mathematics, Faculty of Science, Jiangsu University, China | [d] Department of Basic Science, 10th Higher Technological Institute, Ramadan, Egypt

Correspondence: [*] Corresponding author. Mostafa M.A. Khater, Department of Mathematics, Faculty of Science, Jiangsu University, China. E-mail: Mostafa.Khater2024@yahoo.com.

Abstract: This research paper studies the soliton waves of the (N + 1) dimensional time-fractional conformable Sinh-Gordon equation by the implementation of the modified Khater method. This equation studies surfaces of constant negative curvature, such as the Gauss-Codazzi equation for surfaces of curvature. Using the Painlevé property is employed to support the modified Khater method in formulating of abundant traveling wave solutions. The performance of the used technique emphasizes the power, effect, and ability for applying to many nonlinear evolution equations.

Keywords: (N + 1) dimensional time-fractional Sinh-Gordon equation, Painlevé property, modified auxiliary equation method, nonlinear wave, conformable fractional derivative

DOI: 10.3233/JIFS-179560

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 3, pp. 2745-2752, 2020