İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi

1305-7820 2587-165X

Istanbul Ticaret University

10.55071/ticaretfbd.1285053

Mathematical Sciences

Matematik

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

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

https://orcid.org/0000-0002-5767-1089

Demirbilek

Ulviye

MERSİN ÜNİVERSİTESİ

12 31 2023

22 44 340 351 04 18 2023 08 25 2023

2002

İstanbul Commerce University Journal of Science

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.

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.

Fractional derivative WBBM equations Exact solution

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