Stability analysis and retrieval of new solitary waves of (2+1)- and (3+1)-dimensional potential Kadomtsev-Petviashvili and B-type Kadomtsev-Petviashvili equations using auxiliary equation technique
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The Kadomtsev-Petviashvili (KP) equations are nonlinear partial differential equations which are widely used for the modeling of wave propagation in hydrodynamic and plasma systems. This study aims to make a valuable contribution to the literature by providing new solitary waves to the (2+1)- and (3+1)-dimensional potential Kadomtsev-Petviashvili (pKP)-B-type Kadomtsev-Petviashvili (BKP) equations. For this, the auxiliary equation method associated with Bernoulli equation is used and new solutions for the considered equations are obtained. The stability of obtained solutions is demonstrated using nonlinear analysis. It is shown that this method for the considered pKP-BKP equations is an important step forward in an overall mathematical framework for similar equations.
Açıklama
Anahtar Kelimeler
Solitons, auxiliary equation methods, Kadomtsev-Petviashvili equation
Kaynak
Modern Physics Letters B
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
