On solutions of the fifth-order dispersive equations with porous medium type non-linearity

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Tarih

2018

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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

Künye