Analytic solutions of the time-fractional Boiti-Leon-Manna-Pempinelli equation via novel transformation technique
Yükleniyor...
Dosyalar
Tarih
2025-05-20
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media LLC
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper presents new analytical solutions for the time-fractional Boiti-Leon-Manna-Pempinelli (BLMP) equation, a crucial model for physical phenomena. Our approach yields novel wave solutions, whose propagation and dynamics are examined for diverse parameter values. The obtained solutions contain rational and natural logarithm functions. The graphical representations of the attained solutions are represented by plotted graphs with suitable parameters. The plotted graphs show different solitons and nonlinear wave solutions. The examination of these solutions involves a comprehensive analysis of their propagation and dynamics through analytic techniques. Our results with existing literature and found that our approach yields more accurate and efficient solutions. The novelty of these solutions is essential for understanding nonlinear behavior and natural phenomena. By developing analytical methods for nonlinear equations, this work advances our knowledge of complex systems. The results provide valuable insights into the equation’s behavior, shedding light on the underlying physical mechanisms. This research contributes to the development of analytical methods for nonlinear equations, fostering future research in the field. The findings are relevant to various areas of physics, including wave dynamics and nonlinear systems.
Açıklama
Anahtar Kelimeler
Analytic solution, Boiti-Leon-Manna-Pempinelli, Euler’s second order linear ODE, Fractional calculus, New variable transformations, Time-fractional Boiti-Leon-Manna-Pempinelli, Time-fractional derivative
Kaynak
Scientific Reports
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
15
Sayı
1
Künye
Yasmeen, B., Ahmad, K., Akgül, A., & Al-Mdallal, Q. (2025). Analytic solutions of the time-fractional Boiti-Leon-Manna-Pempinelli equation via novel transformation technique. Scientific Reports, 15(1), 1-15.
