Bifurcation analysis and novel wave patterns to Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation with truncated M-fractional derivative

Abstract The Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation (ZKBBME) is a crucial mathematical model used in fractional quantum mechanics, optical fiber signal processing, ion-acoustic waves in plasma, water waves driven by gravity, turbulent flow, fluid flow waves, and for describing many other r...

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Autori principali:	Jamshad Ahmad, Khalid Masood, Fatima Ayub, Nehad Ali Shah
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	Nature Portfolio 2025-10-01
Serie:	Scientific Reports
Soggetti:	Solitons Fractional calculus The modified exp-function method The exp $$(-\Phi (\eta ))$$ -expansion method Qualitative behavior
Accesso online:	https://doi.org/10.1038/s41598-025-18160-1
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