Abundant solitary wave structures of the higher dimensional Sakovich dynamical model

2021 ◽  
Author(s):  
Muhammad Younis ◽  
Aly R. Seadawy ◽  
Muhammad Z. Baber ◽  
Muhammad W. Yasin ◽  
Syed T. R. Rizvi ◽  
...  
Keyword(s):  
Solitary Wave ◽  
Dynamical Model ◽  
Higher Dimensional

Dispersive Solitary Wave Solutions of Strain Wave Dynamical Model and Its Stability

2019 ◽  
Vol 71 (10) ◽  
pp. 1155 ◽  
Author(s):  
Muhammad Arshad ◽  
Aly R. Seadawy ◽  
Dian-Chen Lu ◽  
Asghar Ali
Keyword(s):  
Solitary Wave ◽  
Dynamical Model ◽  
Solitary Wave Solutions ◽  
Strain Wave ◽  
Wave Solutions

scholarly journals Emergence of complex patterns in a higher-dimensional phyllotactic system

2016 ◽  
Vol 85 (4) ◽  
Author(s):  
Robert M. Beyer ◽  
Jürgen Richter-Gebert
Keyword(s):  
Chaotic Behavior ◽  
Three Dimensions ◽  
Dynamical Model ◽  
Divergence Angle ◽  
Dimensional Case ◽  
Complex Structures ◽  
Two Dimensional ◽  
Higher Dimensional ◽  
Biological Problem ◽  
Space Occupation

A hypothesis commonly known as Hofmeister’s rule states that primordia appearing at the apical ring of a plant shoot in periodic time steps are formed in the position where the most space is available with respect to the space occupation of already-formed primordia. A corresponding two-dimensional dynamical model has been extensively studied by Douady and Couder, and shown to generate a variety of observable phyllotactic patterns indeed. In this study, motivated by mathematical interest in a theoretical phyllotaxis-inspired system rather than by a concrete biological problem, we generalize this model to three dimensions and present the dynamics observed in simulations, thereby illustrating the range of complex structures that phyllotactic mechanisms can give rise to. The patterns feature unexpected additional properties compared to the two-dimensional case, such as periodicity and chaotic behavior of the divergence angle.

On the Exact Soliton Solutions of Some Nonlinear PDE by Tan-Cot Method

2018 ◽  
Vol 5 (1) ◽  
pp. 31-36
Author(s):  
Md Monirul Islam ◽  
Muztuba Ahbab ◽  
Md Robiul Islam ◽  
Md Humayun Kabir
Keyword(s):  
Solitary Wave ◽  
Acoustic Waves ◽  
Water Waves ◽  
Wave Equations ◽  
Rectangular Channel ◽  
Soliton Solutions ◽  
Boussinesq Equations ◽  
Travelling Wave ◽  
Ion Acoustic Waves ◽  
Analytical System

For many solitary wave applications, various approximate models have been proposed. Certainly, the most famous solitary wave equations are the K-dV, BBM and Boussinesq equations. The K-dV equation was originally derived to describe shallow water waves in a rectangular channel. Surprisingly, the equation also models ion-acoustic waves and magneto-hydrodynamic waves in plasmas, waves in elastic rods, equatorial planetary waves, acoustic waves on a crystal lattice, and more. If we describe all of the above situation, we must be needed a solution function of their governing equations. The Tan-cot method is applied to obtain exact travelling wave solutions to the generalized Korteweg-de Vries (gK-dV) equation and generalized Benjamin-Bona- Mahony (BBM) equation which are important equations to evaluate wide variety of physical applications. In this paper we described the soliton behavior of gK-dV and BBM equations by analytical system especially using Tan-cot method and shown in graphically. GUB JOURNAL OF SCIENCE AND ENGINEERING, Vol 5(1), Dec 2018 P 31-36

Experimental study of interaction of a surface solitary wave with an underwater step

2018 ◽  
Vol 1(91) (1) ◽  
pp. 42-52
Author(s):  
A.S. Kotelnikova ◽  
◽  
V.I. Nikishov ◽  
S.M. Sribnyuk ◽  
◽  
...  
Keyword(s):  
Experimental Study ◽  
Solitary Wave
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