KESİRLİ 3D- WAZWAZ -BENJAMIN-BONA-MAHONY DENKLEMLERİNİN FARKLI VERSİYONLARININ SOLİTARY DALGA ÇÖZÜMLERİ ÜZERİNE

Year 2023, Volume: 22 Issue: 44, 340 - 351, 31.12.2023

Ulviye Demirbilek

https://doi.org/10.55071/ticaretfbd.1285053

Abstract

Lineer olmayan kesirli Wazwaz-Benjamin-Bona-Mahony (WBBM) denklemleri fizikte önemli bir rol oynar. Bu denklemler, Kortweg ve de Vries'e (KDV) alternatif olarak belirli doğrusal olmayan dağıtım sistemlerinde küçük genlikli uzun dalgaların yaklaşık olarak tek yönlü yayılmasını incelemek için önemli bir model oluşturur. Çalışmada, kesirli 3D-WBBM denklemleri, Geliştirilmiş Bernoulli Alt Denklem Fonksiyonu (IBSEF) yöntemi kullanılarak çözülmüştür. Çözümlerin fiziksel özelliklerinin gösterilmesi için 3D, 2D ve kontur çizimleri verilmiştir. Bu yöntemin temel amacı, bu denklemlerin kesin çözümlerini açıklığa kavuşturmaktır. Ayrıca yöntemin etkinliği, bu makalede sunulan bulgularla gösterilmektedir.

Keywords

Kesirli türev, WBMM denklemleri, Tam çözüm

ON THE SOLITARY WAVE SOLUTIONS OF DIFFERENT VERSIONS OF FRACTIONAL 3D- WAZWAZ -BENJAMIN-BONA-MAHONY EQUATIONS

Abstract

Nonlinear fractional Wazwaz -Benjamin-Bona-Mahony (WBBM) equations play an important role in physics. The equations form an important model for studying the approximately unidirectional propagation of small amplitude long waves in certain nonlinear distribution systems as an alternative to Kortweg and de Vries (KDV). In this study, the fractional 3D-WBBM equations are solved by using the Improved Bernoulli Sub-Equation Function (IBSEF) method. 3D, 2D and contour plots are given to show the physical properties of the solutions. The main aim of this method is to clarify obvious the exact solutions to the equations. Moreover, the effectiveness of the method is demonstrated by the findings presented in this paper.

Keywords

Fractional derivative, WBBM equations, Exact solution

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