The Propagating Exact Solitary Waves Formation of Generalized Calogero-Bogoyavlenskii-Schiff Equation with Robust Computational Approaches
[ X ]
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The generalized Calogero-Bogoyavlenskii-Schiff equation (GCBSE) is examined and analyzed in this paper. It has several applications in plasma physics and soliton theory, where it forecasts the soliton wave propagation profiles. In order to obtain the analytically exact solitons, the model under consideration is a nonlinear partial differential equation that is turned into an ordinary differential equation by using the next traveling wave transformation. The new extended direct algebraic technique and the modified auxiliary equation method are applied to the generalized Calogero-Bogoyavlenskii-Schiff equation to get new solitary wave profiles. As a result, novel and generalized analytical wave solutions are acquired in which singular solutions, mixed singular solutions, mixed complex solitary shock solutions, mixed shock singular solutions, mixed periodic solutions, mixed trigonometric solutions, mixed hyperbolic solutions, and periodic solutions are included with numerous soliton families. The propagation of the acquired soliton solution is graphically presented in contour, two- and three-dimensional visualization by selecting appropriate parametric values. It is graphically demonstrated how wave number impacts the obtained traveling wave structures.
Açıklama
Anahtar Kelimeler
modified auxiliary equation method (MAE), generalized Calogero-Bogoyavlenskii-Schiff equation (GCBSE), analytical solitary wave solutions, new extended direct algebraic method
Kaynak
Fractal and Fractional
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
7
Sayı
2
