Stability Analysis and Soliton Solutions of the Nonlinear Evolution Equation by Homoclinic Technique Based on Hirota Bilinear Form
Yükleniyor...
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Institute of Electrical and Electronics Engineers Inc.
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
The novel KdV model plays a significant part in the discovery of a variety of nonlinear ion acoustic wave and harmonic crystal phenomena. The new homoclinic method based on the Hirota bilinear form is used to create the bilinear form of the new KdV equation and uncover numerous new exact solu tions. The stability of the solutions is studied in this article using the modulation instability. The results show novel mechanical structures and new properties for this evolution equation. The physical dynamics of the traveling wave solutions produced by the recently suggested homoclinic approach to reinforce the Hirota bilinear method are investigated, the obtained solutions are represented using 2?dimensional, 3?dimensional and contour plots. To guarantee their existence, all the solutions that have been found are inserted into the model. These results open up a new opportunity for us to thoroughly investigate the model. Numerous exciting physical occurrences in the fields of shallow-water waves, ion-acoustic waves in plasma, acoustic waves in harmonic crystal and other related phenomena are reported using the existing work on a regular basis
Açıklama
Anahtar Kelimeler
The new KdV equation; Hirota bilinear method; Homoclinic approach; Solitary wave solution; Complexiton solution
Kaynak
2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
WoS Q DeÄŸeri
Scopus Q DeÄŸeri
N/A
