Higher order perturbation expansion of waves in water of variable depth

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Tarih

2010-01

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Yayıncı

Elsevier Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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Özet

In this work, we extended the application of "the modified reductive perturbation method" to long waves in water of variable depth and obtained a set of KdV equations as the governing equations. Seeking a localized travelling wave solution to these evolution equations we determine the scale function c(1)(tau) so as to remove the possible secularities that might occur. We showed that for waves in water of variable depth, the phase function is not linear anymore in the variables x and t. It is further shown that, due to the variable depth of the water, the speed of the propagation is also variable in the x coordinate

Açıklama

Anahtar Kelimeler

Modified reductive perturbation method, Waves in water of variable depth, Korteweg-de Vries hierarchy, Ion-acoustic-waves, Solitary waves, Terms, Korteweg-de Vries equation, Solitons, Water waves, Evolution equations, Governing equations, Higher-order perturbation, KdV equations, Korteweg-de Vries, Long waves, Phase functions, Reductive perturbation methods, Travelling wave solution, Variable depth, Differential equations, Wave equations, Perturbation techniques

Kaynak

Computers and Mathematics with Applications

WoS Q Değeri

Q1
Q1

Scopus Q Değeri

Q1

Cilt

59

Sayı

1

Künye

Demiray, H. (2010). Higher order perturbation expansion of waves in water of variable depth. Computers and Mathematics with Applications, 59(1), 298-304. doi:10.1016/j.camwa.2009.06.049