Computational and numerical wave solutions of the Caudrey–Dodd–Gibbon equation

MMA Khater - Heliyon, 2023 - cell.com
Abstract The Caudrey–Dodd–Gibbon (CDG) model, a variation of the fifth–order KdV
equation (fKdV) with significant practical consequences, is solved in this study using a …

In surface tension; gravity-capillary, magneto-acoustic, and shallow water waves' propagation

MMA Khater - The European Physical Journal Plus, 2023 - Springer
The current work attempts to apply an accurate and numerical strategy to obtain analytical
and approximation soliton solutions to a significant version of the fifth-order KdV equation …

[HTML][HTML] Soliton theory and modulation instability analysis: The Ivancevic option pricing model in economy

Q Chen, HM Baskonus, W Gao, E Ilhan - Alexandria Engineering Journal, 2022 - Elsevier
In this projected paper, we study on the Ivancevic option pricing model. We apply two
important methods, namely, rational sine-Gordon expansion method which is recently …

[HTML][HTML] Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+ 1)-dimensions with gas bubbles in hydrodynamics …

S Kumar, I Hamid, MA Abdou - Journal of Ocean Engineering and Science, 2023 - Elsevier
Nonlinear evolution equations (NLEEs) are frequently employed to determine the
fundamental principles of natural phenomena. Nonlinear equations are studied extensively …

An efficient analytical approach to investigate fractional Caudrey–Dodd–Gibbon Equations with non-singular kernel derivatives

D Fathima, RA Alahmadi, A Khan, A Akhter, AH Ganie - Symmetry, 2023 - mdpi.com
Fractional calculus is at this time an area where many models are still being developed,
explored, and used in real-world applications in many branches of science and engineering …

Precise invariant travelling wave soliton solutions of the Nizhnik–Novikov–Veselov equation with dynamic assessment

MI Asjad, M Manzoor, WA Faridi, SZ Majid - Optik, 2023 - Elsevier
Abstract The (2+ 1)-dimensional Nizhnik–Novikov–Veselov equation is a significant model
that describes the behaviour of conserved scalar nucleons and their connection to neutral …

[HTML][HTML] Abundant closed-form solutions of the (3+ 1)-dimensional Vakhnenko-Parkes equation describing the dynamics of various solitary waves in ocean …

S Kumar, N Mann - Journal of Ocean Engineering and Science, 2022 - Elsevier
This research article is a study of the (3+ 1)-dimensional Vakhnenko-Parkes equation that
governs the propagation of high-frequency waves in a relaxing medium. To find a variety of …

Analysis of Lie invariance, analytical solutions, conservation laws, and a variety of wave profiles for the (2+ 1)-dimensional Riemann wave model arising from ocean …

S Kumar, SK Dhiman, A Chauhan - The European Physical Journal Plus, 2023 - Springer
Nonlinear phenomena are common in nonlinear sciences and physical engineering, such
as ocean engineering and marine physics, as well as fluid dynamics. Nonlinear partial …

[HTML][HTML] Invariance analysis for determining the closed-form solutions, optimal system, and various wave profiles for a (2+ 1)-dimensional weakly coupled B-Type …

S Rani, S Kumar, R Kumar - Journal of Ocean Engineering and Science, 2023 - Elsevier
In the case of negligible viscosity and surface tension, the B-KP equation shows the
evolution of quasi-one-dimensional shallow-water waves, and it is growingly used in ocean …

[HTML][HTML] Exact solutions and dynamic properties of Ito-type coupled nonlinear wave equations

Y Kai, J Ji, Z Yin - Physics Letters A, 2022 - Elsevier
In this paper, we conduct qualitative and quantitative analysis to Ito system by the complete
discrimination system for polynomial method (CDSPM). Through the traveling wave …