A note on the progressive wave solution of the perturbed Korteweg-deVries equation with variable dissipation

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Tarih

2014-12-01

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Yayıncı

Elsevier Science Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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Özet

In this note, utilizing the method presented in Engelbrecht (1991) and Demiray (2002) we have studied the propagation of progressive waves in perturbed KdV equation with variable dissipation coefficient. The cases of constant and variable dissipation coefficient are studied separately and the results are compared with each other. It is seen that for both cases the amplitude and wave speed decrease with increasing time.

Açıklama

Anahtar Kelimeler

Variable coefficient KdV equation, Perturbed KdV equation, Variable dissipation, Progressive wave, De-vries equation, Expansion, KdV equations, Korteweg-devries equations, Progressive wave solutions, Progressive waves, Variable coefficients, Korteweg-de Vries equation, Solitons, Water waves

Kaynak

Applied Mathematics and Computation

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

248

Sayı

Künye

Demiray, H. (2014). A note on the progressive wave solution of the perturbed korteweg-deVries equation with variable dissipation. Applied Mathematics and Computation, 248, 562-566. doi:10.1016/j.amc.2014.10.020