Solutions for KMM System and Generalized Hyperelastic-Rod Wave Equation

Şeyma Tülüce Demiray; Emre Ceren

doi:10.47495/okufbed.1164007

Research Article

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

Year 2022, Volume: 5 Issue: 3, 1690 - 1703, 12.12.2022

Şeyma Tülüce Demiray Emre Ceren

https://doi.org/10.47495/okufbed.1164007

Cited By: 1

Abstract

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.

Keywords

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

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