- Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 25 Issue: 2
- Investigation of traveling wave solutions of nonlinear mathematical models by the modified exponenti...
Investigation of traveling wave solutions of nonlinear mathematical models by the modified exponential function method
Authors : Çağlar Kubal, Tolga Aktürk
Pages : 575-598
Doi:10.25092/baunfbed.1244878
View : 13 | Download : 10
Publication Date : 2023-07-07
Article Type : Research Article
Abstract :In this work, traveling wave solutions of (1+1)-dimensional Landau-Ginzburg-Higgs and Duffing nonlinear partial differential equations, which are examples of mathematical modeling, are obtained and analyzed using the modified exponential function method. In order to facilitate the physical interpretation of the mathematical models represented by these equations, simulations of the behavior of the mathematical model as three-dimensional, contour, density and two-dimensional graphics are given using a package program with the help of appropriate parameters. It has been shown that the modified exponential function method effectively investigates the solutions of (1+1)-dimensional Landau-Ginzburg-Higgs and Duffing equations.Keywords : Yürüyen dalga çözümleri, (1+1)-ölçülü landau-ginzburg-higgs denklemi, duffing denklemi, genişletilmiş üstel fonksiyon metodu