In (1 + 1)–dimension; inelastic interaction of long-surface gravity waves of small-amplitude unidirectional propagation

• Published in: Journal of ocean engineering and science 2022-04
• Main Authors: Wang, Fuzhang, Muhammad, Shabbir, Al-Ghamdi, A., Higazy, M., Khater, Mostafa M.A.
• Format: Article
• Language: English
• Subjects: Computational simulations; Schrödinger equation; Soliton waves
• ISSN: 2468-0133; 2468-0133
• DOI: 10.1016/j.joes.2022.03.022

•Analytical handling of the modified Benjamin–Bona–Mahony (BBM) equation and the coupled Klein–Gordon (CKG) equations.•Constructing novel solitary wave solutions.•Investigating the obtained results’ accuracy.•Explaining the obtained solutions through some distinct types of sketches. This article investigate novel waves’ structures for the modified Benjamin–Bona–Mahony (BBM) equation and the coupled Klein–Gordon (CKG) equations through two recent analytical schemes. The BBM and CKG equations describe respectively the unidirectional promulgation of long waves in certain nonlinear dispersive media and limited purview of the relativistic energy-momentum relation. These models have many applications in various fields such as fluid mechanics, optical fiber, and many other distinct areas. The investigated models get many solitary wave solutions by employing the extended simple equation (ESE) and generalized Kudryashov (GKud) techniques. The assembled results are articulated through nonidentical graphs in two-, three-dimensional, and contour formulations. The novelty of our article is explained by comparing our solutions with those obtained in previously published articles. The employed techniques’ performance is investigated to show their effectiveness and power.