scholarly journals Mixed soliton solutions for the (2+1)-dimensional generalized breaking soliton system via new analytical mathematical method

2021 ◽  
pp. 105030
Author(s):  
Mujahid Iqbal ◽  
Aly R. Seadawy ◽  
Saad Althobaiti
Keyword(s):  
Mathematical Method ◽  
Soliton Solutions

Linear Discriminatory Analysis: A Patient Classifying for Research and Production Control

1971 ◽  
Vol 10 (02) ◽  
pp. 96-102 ◽  
Author(s):  
B. HALLEN ◽  
P. HALL ◽  
H. SELANDER
Keyword(s):  
Mathematical Method ◽  
Medical Information ◽  
Production Control ◽  
Human Ability ◽  
Discriminatory Analysis

Administrative and medical information about the patient forms, in each case, a pattern, the complexity of which increases as the number of data grows. Even when the data are 4—5 in number, the human ability to recognize and distinguish between different patterns begins to fail, A mathematical method (linear discriminatory analysis) has been worked out. This system of analysis appears to provide opportunities of placing patients with the same or similar patterns in classes which are diagnostically, prognostically or therapeutically homogeneous.

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

Mathematical Method to Unfolding Couplings

2019 ◽  
Vol 17 (17) ◽  
pp. 63-64
Author(s):  
Carmen Popa ◽  
Ivona Petre ◽  
Ruxandra-Elena Bratu
Keyword(s):  
Mathematical Method ◽  
Mathematical Methods ◽  
Intersection Curves ◽  
Four Cylinders

AbstractThe purpose of this paper is to establish the intersection curves between cylinders, using Mathematica program. The equations curves which are inferred by mathematical methods are introduced in this program. This paper takes into discussion the case of four cylinders.

Study On Optimum Age For Reaching The Peak Sport Form For High Performance Sports

2019 ◽  
pp. 91-98
Author(s):  
Sebastian Vicol ◽  
Florin Trofin ◽  
Cezar Honceriu
Keyword(s):  
Mathematical Method ◽  
High Performance ◽  
Performance Capacity ◽  
Sport Training

The improvement of performance capacity represents the objective to be achieved within sport training, as it is materialised by obtaining valuable results. The sport condition represents the essence of performance capacity. This is the reason why I have decided to study thoroughly the notions related to „sport condition”, but mainly because I wanted to reach an agreement with respect to the age when performance athletes and swimmers achieve the peak sport condition during their career, obtaining the most important victories or results in important competitions. By analysing the specialised literature, based on both the observation, and statistical-mathematical method, I have taken over and calculated the average ages both for women and for men using nine studies of sport specialists. Splitting both the athletic and swim trials in two categories, namely: speed/explosion trials and endurance trial, I have reached the conclusion that the average age when men achieve the peak sport condition is 26 years and of women 25.3 years. Also, each trial has its characteristics, therefore, the average ages of reaching the peak sport condition are different.

scholarly journals Dispersive MHD waves and alfvenons in charge non-neutral plasmas

2008 ◽  
Vol 15 (4) ◽  
pp. 681-693 ◽  
Author(s):  
K. Stasiewicz ◽  
J. Ekeberg
Keyword(s):  
Soliton Solutions ◽  
Theoretical Models ◽  
Mhd Waves ◽  
Space Plasmas ◽  
Charge Effects ◽  
Novel Technique ◽  
Solitary Structures ◽  
Spatial Dimensions ◽  
Electric Potentials ◽  
Linear And Nonlinear

Abstract. Dispersive properties of linear and nonlinear MHD waves, including shear, kinetic, electron inertial Alfvén, and slow and fast magnetosonic waves are analyzed using both analytical expansions and a novel technique of dispersion diagrams. The analysis is extended to explicitly include space charge effects in non-neutral plasmas. Nonlinear soliton solutions, here called alfvenons, are found to represent either convergent or divergent electric field structures with electric potentials and spatial dimensions similar to those observed by satellites in auroral regions. Similar solitary structures are postulated to be created in the solar corona, where fast alfvenons can provide acceleration of electrons to hundreds of keV during flares. Slow alfvenons driven by chromospheric convection produce positive potentials that can account for the acceleration of solar wind ions to 300–800 km/s. New results are discussed in the context of observations and other theoretical models for nonlinear Alfvén waves in space plasmas.

scholarly journals Onset of the broad-ranging general stable soliton solutions of nonlinear equations in physics and gas dynamics

2021 ◽  
Vol 20 ◽  
pp. 103762
Author(s):  
Md. Abdul Kayum ◽  
Shamim Ara ◽  
M.S. Osman ◽  
M. Ali Akbar ◽  
Khaled A. Gepreel
Keyword(s):  
Nonlinear Equations ◽  
Gas Dynamics ◽  
Soliton Solutions
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