CONTRIBUTION OF HIGHER ORDER TERMS TO THE NONLINEAR SHALLOW WATER WAVES

Hilmi DEMİRAY

Makale detayları

CONTRIBUTION OF HIGHER ORDER TERMS TO THE NONLINEAR SHALLOW WATER WAVES

Yazarlar:

Hilmi DEMİRAY

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2012 Vol.2 Issue 2, pp.210-218

Belge Tipi:

Makale

Yayın Tarihi:

11/2012

Belge Dili:

İngilizce

Document ID (Org No.):

2000746310

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

In this work, by utilizing the scaled multiple-space expansion method, we  studied the propagation of weakly nonlinear waves in shallow water and obtained the governing evolution equations of various order terms in the perturbation expansion. Seeking  a progressive wave solution to these evolution equations we obtained the speed correction  terms so as to remove some possible secularities. The result obtained here is exactly the  same with that of obtained by the modified reductive perturbation method [12]. We  also proposed a method for the evolution equation governing the n th order term in the  perturbation expansion. By defining a single time parameter we showed the connection  of the modified reductive perturbation method to the scaled multiple-space expansion  method.

Makale detayları

CONTRIBUTION OF HIGHER ORDER TERMS TO THE NONLINEAR SHALLOW WATER WAVES

Yazarlar: Hilmi DEMİRAY

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2012 Vol.2 Issue 2, pp.210-218

Belge Tipi: Makale

Yayın Tarihi: 11/2012

Belge Dili: İngilizce

Document ID (Org No.): 2000746310

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

Hilmi DEMİRAY

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2012 Vol.2 Issue 2, pp.210-218

Belge Tipi:

Makale

Yayın Tarihi:

11/2012

Belge Dili:

İngilizce

Document ID (Org No.):

2000746310

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147