KMM Sistemi ve Genelleştirilmiş Hiperelastik-Rod Dalga Denklemi için Soliton Çözümler

Öz

Bu çalışmada Kraenkel-Manna-Merle (KMM) sistemi ve genelleştirilmiş hiperelastik-rod dalga denklemi incelenmiştir. Bunun için lineer olmayan evrim denklemlerinin çözüm yöntemlerinden biri olan genelleştirilmiş Kudryashov metodu (GKM), KMM sistemine ve genelleştirilmiş hiperelastik-rod dalga denklemlerine uygulanmıştır. Ele alınan denklemler için bazı çözümler bulunmuş ve Wolfram Mathematica 12 kullanılarak iki ve üç boyutlu olarak görselleştirilmiştir.

Anahtar Kelimeler

• GKM
• Kraenkel-Manna-Merle sistemi
• Genelleştirilmiş hiperelastik-rod dalga denklemi
• Soliton çözümleri

Solutions for KMM System and Generalized Hyperelastic-Rod Wave Equation

Öz

In this study, the Kraenkel-Manna-Merle (KMM) system and generalized hyperelastic-rod wave equation have been investigated. For this, generalized Kudryashov method (GKM), which is one of the solution methods of nonlinear evolution equations (NLEEs), has been implemented to KMM system and generalized hyperelastic-rod wave equation. Some solutions to the discussed equations have been found and visualized using Wolfram Mathematica 12 in two and three dimensions.

Anahtar Kelimeler

• GKM
• Kraenkel-Manna-Merle system
• Generalized hyperelastic-rod wave equation
• Soliton Solutions

Kaynakça

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