Lie group analysis and exact solutions of nonlinear dispersive equations for porous media
Yükleniyor...
Dosyalar
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media Deutschland GmbH
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Dispersive equations have recently been attractive in the nonlinear wave phenomena appearing in many applications of science and engineering. In this work, the symmetry solutions of the dispersive equation with porous medium-type nonlinearity, which is a generalized nonlinear dispersion–diffusion model, are revealed. To obtain the exact solutions of nonlinear equations, various techniques, including the ansatz methods, are applied in the literature. This work uses the classical Lie group of transformations, which is the most general and effective one. The long-time behaviour of solutions is discussed regarding the different powers of nonlinearities. © 2022, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
Açıklama
Anahtar Kelimeler
Kaynak
European Physical Journal Plus
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
137
Sayı
2
