Analysis of dynamics of fusion solitons of the generalized (3 +1)−Kadomtsev–Petviashvili equation

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Isah M. A., Yokuş A.

JOURNAL OF MAHANI MATHEMATICAL RESEARCH, cilt.13, sa.2, ss.505-533, 2024 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 13 Sayı: 2
• Basım Tarihi: 2024
• Doi Numarası: 10.22103/jmmr.2024.22632.1547
• Dergi Adı: JOURNAL OF MAHANI MATHEMATICAL RESEARCH
• Derginin Tarandığı İndeksler: Scopus, Directory of Open Access Journals
• Sayfa Sayıları: ss.505-533
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• İstanbul Ticaret Üniversitesi Adresli: Hayır

Özet

The aim of this paper is to introduce a generalized $(3+1)$-Kadomtsev-Petviashvili equation which is used to describe waves in a ferromagnetic medium. The equation's bilinear form is created and the new homoclinic test approach based on the Hirota bilinear form is used to find numerous novel precise solutions. These accurate solutions, which are depicted in the contour, two-dimensional and three-dimensional graphs, show the evolution of periodic characteristics. The modulation instability is used to investigate the stability of the obtained solutions. Additionally, the development of the fusion soliton is examined, as well as the fusion phenomenon in the traveling wave solution is described in the physical discussion.  For this evolution equation, the study indicates new mechanical structures and various characteristics. The derived results back up the model that was proposed. These discoveries open up a new avenue for us to investigate the concept further.