img
Complexiton and resonant multi-solitons of a (4 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation      
Yazarlar
Nauman Raza
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Ahmad Javid
Mustafa İnç
Türkiye
Özet
This work is concerned with the extraction of auto-Bäcklund transformations of (4 + 1)-dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equation in accordance with the extended homogeneous balance (HB) method incorporating Maple. Subsequently, these transformations are used to study analytic explicit solutions of this equation. Also, based on the Hirota bilinear form and the extended transformed rational function method, complexiton solutions have been found of the (4 + 1)-dimensional BLMP equation through a direct symbolic computation with Maple. This method is the improved form of the transformed rational function method. The obtained complexiton solutions, including trigonometric and hyperbolic trigonometric solutions, have been verified utilizing Hirota bilinear forms. Some of the solutions are depicted in 3D graphs to understand physical properties. The reported results are new and have applications in several scientific fields such as incompressible fluids.
Anahtar Kelimeler
Auto-Bäcklund transformations | Complexiton solutions | Extended transformed rational function method | Symbolic computation | The extended homogeneous balance method
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı OPTICAL AND QUANTUM ELECTRONICS
Dergi ISSN 0306-8919
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 02-2022
Cilt No 54
Sayı 2
Doi Numarası 10.1007/s11082-021-03487-6
Makale Linki http://dx.doi.org/10.1007/s11082-021-03487-6