scholarly journals Experimental Observation of Negative Effective Gravity in Water Waves

2013 ◽  
Vol 3 (1) ◽  
Author(s):  
Xinhua Hu ◽  
Jiong Yang ◽  
Jian Zi ◽  
C. T. Chan ◽  
Kai-Ming Ho
Keyword(s):  
Experimental Observation ◽  
Water Waves ◽  
Effective Gravity

scholarly journals Hydrodynamics of periodic breathers

2014 ◽  
Vol 372 (2027) ◽  
pp. 20140005 ◽  
Author(s):  
A. Chabchoub ◽  
B. Kibler ◽  
J. M. Dudley ◽  
N. Akhmediev
Keyword(s):  
Experimental Observation ◽  
Water Waves ◽  
Water Wave ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Wave Flume ◽  
Theoretical Predictions ◽  
The Difference ◽  
Basic Features ◽  
Good Agreement

We report the first experimental observation of periodic breathers in water waves. One of them is Kuznetsov–Ma soliton and another one is Akhmediev breather. Each of them is a localized solution of the nonlinear Schrödinger equation (NLS) on a constant background. The difference is in localization which is either in time or in space. The experiments conducted in a water wave flume show results that are in good agreement with the NLS theory. Basic features of the breathers that include the maximal amplitudes and spectra are consistent with the theoretical predictions.

scholarly journals Negative Effective Gravity in Water Waves by Periodic Resonator Arrays

2011 ◽  
Vol 106 (17) ◽  
Author(s):  
Xinhua Hu ◽  
C. T. Chan ◽  
Kai-Ming Ho ◽  
Jian Zi
Keyword(s):  
Water Waves ◽  
Effective Gravity ◽  
Resonator Arrays

scholarly journals Experimental observation of effective gravity and two-time physics in ferrofluid-based hyperbolic metamaterials

2020 ◽  
Vol 2 (05) ◽  
Author(s):  
Vera N. Smolyaninova ◽  
John Cartelli ◽  
Bryan Augstein ◽  
Stephanie Spickard ◽  
Mary S. Devadas ◽  
...  
Keyword(s):  
Experimental Observation ◽  
Hyperbolic Metamaterials ◽  
Effective Gravity

Experimental observation of a doubly percolating system

1992 ◽  
Vol 2 (4) ◽  
pp. 365-369 ◽  
Author(s):  
Pablo Jensen ◽  
Patrice Melinon ◽  
Alain Hoareau ◽  
Jian Xiong Hu ◽  
Michel Treilleux ◽  
...  
Keyword(s):  
Experimental Observation

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

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