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

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.

Keywords

• The simplified MCH equation
• the Getmanou equation
• MEFM
• dark optical soliton solutions
• dark-bright optical soliton solutions
• ; Mathematica

Basitleştirilmiş MCH Denklemi ve Getmanou Denkleminin Tam Çözümleri için Modifiye Edilmiş Exp (-vartheta(sigma))-Açılım Fonksiyon Metodu

Abstract

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.

Keywords

• Basitleştirilmiş MCH denklemi
• Getmanou denklemi
• MEFM
• dark optik soliton çözümler
• dark-bright optik soliton çözümler
• Mathematica

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