A generalization of the MDS method by mixed integer linear and nonlinear mathematical models

Abstract The solution of nonlinear mathematical models has much importance and in soliton theory its worth has increased. In the present article, we have investigated the Caudrey-Dodd-Gibbon and Pochhammer-Chree equations, to discuss the physics of these equations and to attain soliton solutions. The exp(−ϕ(ζ ))-expansion technique is used to construct solitary wave solutions. A wave transformation is applied to convert the problem into the form of an ordinary differential equation. The drawn-out novel type outcomes play an essential role in the transportation of energy. It is noted that in the study, the approach is extremely reliable and it may be extended to further mathematical models signified mostly in nonlinear differential equations.

Download Full-text

A computational algorithm for the multiple generation of nonlinear mathematical models and stability study

Advances in Engineering Software ◽

10.1016/j.advengsoft.2007.03.004 ◽

2008 ◽

Vol 39 (5) ◽

pp. 430-437 ◽

Cited By ~ 4

Author(s):

F. Verdú ◽

Y. Villacampa

Keyword(s):

Mathematical Models ◽

Computational Algorithm ◽

Stability Study ◽

Multiple Generation ◽

Nonlinear Mathematical Models

Download Full-text

Numerically - analytical methods for mathematical modeling of nonlinear dynamic systems in CAS Maple. II. Automation of the mathematical analysis of nonlinear mathematical models

SPACE TIME AND FUNDAMENTAL INTERACTIONS ◽

10.17238/issn2226-8812.2017.2.74-83 ◽

2017 ◽

Vol 2 ◽

pp. 74-83

Author(s):

Yu.G. Ignat’ev ◽

◽

A.R. Samigullina ◽

Keyword(s):

Mathematical Modeling ◽

Mathematical Models ◽

Dynamic Systems ◽

Mathematical Analysis ◽

Analytical Methods ◽

Nonlinear Dynamic ◽

Nonlinear Dynamic Systems ◽

Nonlinear Mathematical Models

Download Full-text

INDUSTRIAL POLLUTION AND ASTHMA: A MATHEMATICAL MODEL

Journal of Biological System ◽

10.1142/s0218339000000225 ◽

2000 ◽

Vol 08 (04) ◽

pp. 347-371 ◽

Cited By ~ 2

Author(s):

MINI GHOSH

Keyword(s):

Mathematical Model ◽

Computer Simulation ◽

Differential Equations ◽

Mathematical Models ◽

Stability Theory ◽

Industrial Pollution ◽

Air Pollutant ◽

Logistic Growth ◽

Nonlinear Mathematical Models

In this paper, some nonlinear mathematical models are proposed and analyzed to study the spread of asthma due to inhaled pollutants from Industry. The following two types of demographics are considered here; (i) population with constant immigration, (ii) population with logistic growth. In each type of demography, the following three cases have been considered regarding the release of pollutant into the environment; (i) when emission of the pollutant into the environment is constant, (ii) when emission of the pollutant is population dependent, and (iii) when emission of the pollutant is periodic. Using stability theory of differential equations and computer simulation, it is shown that due to an increase in the air pollutant, the asthmatic (diseased) population increases in the region under consideration.

Download Full-text