Steeping and dispersive effects analysis of a couple of long-wave equations in dispersive media

Alexandria Engineering Journal

Haifa I. Alrebdi¹  M. Ali Akbar²  Most. Shewly Aktar³  Kottakkaran Sooppy Nisar⁴  A. Abdel-Aty⁵ 

[1] Corresponding author.;Department of Applied Mathematics, University of Rajshahi, Bangladesh;Department of Electrical and Electronic Engineering, Varendra University, Bangladesh;Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia;Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia;

关键词: Regularized long-wave equation;    Modified regularized long wave equations;    The EMSE approach;    Traveling wave solutions;    Soliton;   

DOI  :  

来源: DOAJ

【 摘 要 】

Dispersive wave propagations are described by nonlinear models, such as regularized long waves and modified regularized long waves, where nonlinearity and dispersion are important aspects of wave evolution to model long-wave propagation in dispersive media with small amplitudes. In this article, solitary wave solutions to the formerly indicated nonlinear equations are computed as exponential, hyperbolic, and trigonometric structures and their integration by balancing the steeping and dispersion terms of the highest order, and different classes of definitive localized coherent structures with their interaction properties, such as soliton solutions, are extracted by assigning appropriate functions. We have also investigated the impact of steeping and wave spread on waveforms. The wave solutions are assessed using the enhanced modified simple equation approach, which organizes the soliton solutions based on the features of the dispersive interconnections with the nonlinear cubic and quadratic characters that exist in the equations. The consistent 3D and 2D soliton configurations show that the wave profile is modulated by the wave velocity function and the parameters associated with it, and most of the modulation is due to linear effects.

【 授权许可】

Unknown