AN APPLICATION OF MODIFIED REDUCTIVE PERTURBATION METHOD TO SYMMETRIC REGULARIZED-LONG-WAVE

Hilmi DEMİRAY

Makale detayları

AN APPLICATION OF MODIFIED REDUCTIVE PERTURBATION METHOD TO SYMMETRIC REGULARIZED-LONG-WAVE

Yazarlar:

Hilmi DEMİRAY

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2011 Vol.01 Issue 1, pp.49-57

Belge Tipi:

Makale

Yayın Tarihi:

5/2011

Belge Dili:

İngilizce

Document ID (Org No.):

2000746328

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

Modified reductive perturbation method, Ion-acoustic waves, Korteweg-deVries In this work, we extended the application of ”the modified reductive perturbation method” to symmetrical regularized long waves with quadratic nonlinearity and  obtained various form of KdV equations as the governing equations. Seeking a localized  travelling wave solutions to these evolution equations we determined the scale parameters g1 and g2 so as to remove the possible secularities that might occur. To indicate  the power and elegance of the present method, we compared our result with the exact  travelling wave solution of the symmetric regularized long-wave equation with quadratic  nonlinearity. These results show that for weakly nonlinear case the solutions for both  approaches coincide with each other. The present method is seen to be fairly simple as  compared to the renormalization method of Kodama and Taniuti [4] and the multiple  scale expansion method of Kraenkel et al [6]..

Makale detayları

AN APPLICATION OF MODIFIED REDUCTIVE PERTURBATION METHOD TO SYMMETRIC REGULARIZED-LONG-WAVE

Yazarlar: Hilmi DEMİRAY

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2011 Vol.01 Issue 1, pp.49-57

Belge Tipi: Makale

Yayın Tarihi: 5/2011

Belge Dili: İngilizce

Document ID (Org No.): 2000746328

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 2011 Vol.01 Issue 1, pp.49-57

Belge Tipi:

Makale

Yayın Tarihi:

5/2011

Belge Dili:

İngilizce

Document ID (Org No.):

2000746328

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147