scholarly journals Freedom in the expansion and obstacles to integrability in multiple-soliton solutions of the perturbed KdV equation

2006 ◽  
Vol 217 (1) ◽  
pp. 77-87 ◽  
Author(s):  
Alex Veksler ◽  
Yair Zarmi
Keyword(s):  
Kdv Equation ◽  
Soliton Solutions ◽  
Multiple Soliton Solutions ◽  
Perturbed Kdv Equation

Integrability of coupled KdV equations

Open Physics ◽  
2011 ◽  
Vol 9 (3) ◽  
Author(s):  
Abdul-Majid Wazwaz
Keyword(s):  
Kdv Equation ◽  
Soliton Solutions ◽  
Resonance Phenomenon ◽  
Hirota’S Bilinear Method ◽  
Bilinear Method ◽  
Kdv Equations ◽  
Multiple Soliton Solutions ◽  
Coupled Kdv Equations ◽  
Singular Soliton ◽  
Multiple Singular Soliton Solutions

AbstractThe integrability of coupled KdV equations is examined. The simplified form of Hirota’s bilinear method is used to achieve this goal. Multiple-soliton solutions and multiple singular soliton solutions are formally derived for each coupled KdV equation. The resonance phenomenon of each model will be examined.

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