scholarly journals The reductive perturbation method and some of its applications

2008 ◽  
Vol 41 (4) ◽  
pp. 043001 ◽  
Author(s):  
Hervé Leblond
Keyword(s):  
Perturbation Method ◽  
Reductive Perturbation Method ◽  
Reductive Perturbation

Localized coherent nonlinear wave structures in dusty plasma with non-thermal ions

2007 ◽  
Vol 73 (6) ◽  
pp. 921-932 ◽  
Author(s):  
TARSEM SINGH GILL ◽  
CHANCHAL BEDI ◽  
NARESHPAL SINGH SAINI ◽  
HARVINDER KAUR
Keyword(s):  
Perturbation Method ◽  
Solitary Waves ◽  
Vries Equation ◽  
Thermal Parameter ◽  
Reductive Perturbation Method ◽  
Double Layers ◽  
Dust Charge ◽  
Dust Acoustic Solitary Waves ◽  
Reductive Perturbation ◽  
Dust Acoustic

AbstractIn the present research paper, the characteristics of dust-acoustic solitary waves (DASWs) and double layers (DLs) are studied. Ions are treated as non-thermal and variable dust charge is considered. The Korteweg–de Vries equation is derived using a reductive perturbation method. It is noticed that compressive solitons are obtained up to a certain range of relative density δ (=ni0/ne0) beyond which rarefactive solitons are observed. The study is further extended to investigate the possibility of DLs. Only compressive DLs are permissible. Both DASWs and DLs are sensitive to variation of the non-thermal parameter.

The reductive perturbation method and the Korteweg-de Vries hierarchy

1995 ◽  
Vol 39 (1-3) ◽  
pp. 389-403 ◽  
Author(s):  
R. A. Kraenkel ◽  
J. G. Pereira ◽  
M. A. Manna
Keyword(s):  
Perturbation Method ◽  
Reductive Perturbation Method ◽  
Reductive Perturbation ◽  
De Vries

scholarly journals The Modified Reductive Perturbation Method as Applied to the Boussinesq Equation

2007 ◽  
Vol 62 (7-8) ◽  
pp. 347-352 ◽  
Author(s):  
Hilmi Demiray
Keyword(s):  
Perturbation Method ◽  
Water Waves ◽  
Present Method ◽  
Evolution Equations ◽  
Expansion Method ◽  
Multiple Scale ◽  
Travelling Wave ◽  
Reductive Perturbation Method ◽  
Kdv Hierarchy ◽  
Reductive Perturbation

In this work, we extended the application of “the modified reductive perturbation method” to long water waves and obtained the governing equations of Korteweg - de Vries (KdV) hierarchy. Seeking localized travelling wave solutions to these evolution equations we have determined the scale parameter g1 so as to remove the possible secularities that might occur. To indicate the effectiveness and the elegance of the present method, we studied the problem of the “dressed solitary wave method” and obtained exactly the same result. The present method seems to be fairly simple and practical as compared to the renormalization method and the multiple scale expansion method existing in the current literature

Sign in / Sign up

Export Citation Format

Share Document