Regularity and wave study of an advection-diffusion-reaction equation
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Nature Portfolio
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we investigate the optimal conditions to the boundaries where the unique existence of the solutions to an advection-diffusion-reaction equation is secured by applying the contraction mapping theorem from the study of fixed points. Also, we extract, traveling wave solutions of the underlying equation. To this purpose, a new extended direct algebraic method with traveling wave transformation has been used. Achieved soliton solutions are different functions which are hyperbolic, trigonometric, exponential, and some mixed trigonometric functions. These functions show the nature of solitons. Two and three-dimensional plots are drawn using different values of parameters and coefficients for the comparison and behavior of solitons as combined bright-dark, dark, and bright solitons.
Açıklama
Anahtar Kelimeler
Advection-diffusion-reaction, Extinction wave, Contraction, Lipschitz, Solitons, New MEDA method
Kaynak
Scientific Reports
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
14
Sayı
1
