On solutions of the fifth-order dispersive equations with porous medium type non-linearity
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Dosyalar
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we focus on obtaining the exact solutions of the fifth-order semi-linear and non-linear dispersive partial differential equations, which have the second-order diffusion-like (porous-type) non-linearity. The proposed equations were not studied in the literature in the sense of the exact solutions. We reveal solutions of the proposed equations using the classical Riccati equations method. The obtained exact solutions, which can play a key role to simulate non-linear waves in the medium with dispersion and diffusion, are illustrated and discussed in details.
Açıklama
Anahtar Kelimeler
Traveling-Wave Solutions, Differential-Equations, Similarity Solutions, Shallow-Water, Camassa-Holm, Tanh Method, Solitons, Pdes
Kaynak
Waves in Random and Complex Media
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
28
Sayı
3