The Modified Exp (-ϑ(σ))-Expansion Function Method for Exact Solutions of the Simplified MCH Equation and the Getmanou Equation

Şeyma TÜLÜCE DEMİRAY; Sevgi KASTAL

doi:https://doi.org/10.37094/adyujsci.857583

Article Details

The Modified Exp (-ϑ(σ))-Expansion Function Method for Exact Solutions of the Simplified MCH Equation and the Getmanou Equation

Authors:

Şeyma TÜLÜCE DEMİRAY | Sevgi KASTAL

Publisher:

Adıyaman University

Main Topics:

Probabilities & applied mathematics

Journal:

Adıyaman University Journal of Science 2021 Vol.11 Issue 2, pp.276-289

Document Type:

Article

Publication Date:

12/2021

Document Language:

English

Document ID (Org No.):

2000440805

Frequency:

Monthly

eISSN:

2146-586X

pISSN:

2147-1630

DOI:

https://doi.org/10.37094/adyujsci.857583

Abstract:

 

The present research explores, the modified exp -expansion function method  (MEFM) is tested by applying it to obtain the exact travelling wave solutions for  the simplified MCH equation and the Getmanou equation. Dark optical soliton solutions and dark-bright optical soliton solutions of the simplified MCH equation and the Getmanou equation are successfully constructed by using this method. We carry out all the computations and draw the 2D and 3D graph in this paper by Wolfram Mathematica 9. Besides, the graphical representation obviously shows forcefulness of this method.

 

Mevcut araştırma, Modifiye edilmiş exp -açılım fonksiyon metodunu (MEFM), basitleştirilmiş MCH denklemi ve Getmanou denklemi için tam hareketli dalga çözümlerini elde etmek üzere uygulayarak test eder. Basitleştirilmiş MCH denkleminin ve Getmanou denkleminin dark optik soliton ve dark-bright optik soliton çözümleri bu yöntem kullanılarak başarıyla elde edilmiştir. Bu çalışmadaki tüm hesaplamalar Wolfram Mathematica 9 tarafından yapılmış ve 2D ve 3D grafikleri çizilmiştir. Ayrıca, grafiksel gösterim bu yöntemin açıkça gücünü göstermektedir.

Article Details

The Modified Exp (-ϑ(σ))-Expansion Function Method for Exact Solutions of the Simplified MCH Equation and the Getmanou Equation

Authors: Şeyma TÜLÜCE DEMİRAY | Sevgi KASTAL

Publisher: Adıyaman University

Main Topics: Probabilities & applied mathematics

Journal: Adıyaman University Journal of Science 2021 Vol.11 Issue 2, pp.276-289

Document Type: Article

Publication Date: 12/2021

Document Language: English

Document ID (Org No.): 2000440805

Frequency: Monthly

eISSN: 2146-586X

pISSN: 2147-1630

DOI: https://doi.org/10.37094/adyujsci.857583

Issues

Authors:

Şeyma TÜLÜCE DEMİRAY | Sevgi KASTAL

Publisher:

Adıyaman University

Main Topics:

Probabilities & applied mathematics

Journal:

Adıyaman University Journal of Science 2021 Vol.11 Issue 2, pp.276-289

Document Type:

Article

Publication Date:

12/2021

Document Language:

English

Document ID (Org No.):

2000440805

Frequency:

Monthly

eISSN:

2146-586X

pISSN:

2147-1630

DOI:

https://doi.org/10.37094/adyujsci.857583