Solution of Modified Hirota-Satsuma (MHS) Coupled KdV-Equations by Variational Iteration Method

2021 ◽  
Vol 67 (5) ◽  
pp. 113-125
Author(s):  
Franklin Ogunfiditimi ◽  
Nyore Okiotor
Keyword(s):  
Iteration Method ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
Kdv Equations ◽  
Coupled Kdv Equations

scholarly journals A modification fractional variational iteration method for solving nonlinear gas dynamic and coupled KdV equations involving local fractional operators

2018 ◽  
Vol 22 (Suppl. 1) ◽  
pp. 165-175 ◽  
Author(s):  
Dumitru Baleanu ◽  
Hassan Jassim ◽  
Hasib Khan
Keyword(s):  
Iteration Method ◽  
Variational Iteration Method ◽  
Approximate Solutions ◽  
New Technique ◽  
Transform Method ◽  
Variational Iteration ◽  
Kdv Equations ◽  
Gas Dynamic ◽  
Coupled Kdv Equations ◽  
A New Technique

In this paper, we apply a new technique, namely local fractional variational iteration transform method on homogeneous/non-homogeneous non-linear gas dynamic and coupled KdV equations to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative and integral operators. This method is the combination of the local fractional Laplace transform and variational iteration method. The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.

TRAVELING WAVE SOLUTIONS OF SEVENTH-ORDER GENERALIZED KdV EQUATIONS BY VARIATIONAL ITERATION METHOD USING ADOMIAN'S POLYNOMIALS

2009 ◽  
Vol 23 (15) ◽  
pp. 3265-3277 ◽  
Author(s):  
SYED TAUSEEF MOHYUD-DIN ◽  
MUHAMMAD ASLAM NOOR ◽  
KHALIDA INAYAT NOOR
Keyword(s):  
Applied Sciences ◽  
Iteration Method ◽  
Traveling Wave Solutions ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
Kdv Equations ◽  
Wave Solutions ◽  
Seventh Order ◽  
Generalized Kdv Equations ◽  
Adomian’S Polynomials

In this paper, we apply the variational iteration method using Adomian's polynomials (VIMAP) to investigate propagating traveling solitary wave solutions of seventh-order generalized KdV (SOG-KdV) equations, which play a very important role in mathematical physics, engineering, and applied sciences. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The proposed iterative scheme finds the solution without any discretization, perturbation, linearization, or restrictive assumptions and is formulated by the elegant coupling of variational iteration method and Adomian's polynomials.

scholarly journals Application of He’s Variational Iteration Method to Nonlinear Integro-Differential Equations

2010 ◽  
Vol 65 (5) ◽  
pp. 418-430 ◽  
Author(s):  
Ahmet Yildirim
Keyword(s):  
Differential Equations ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Mathematical Tool ◽  
Variational Iteration ◽  
He’S Variational Iteration Method ◽  
Powerful Mathematical Tool

In this paper, an application of He’s variational iteration method is applied to solve nonlinear integro-differential equations. Some examples are given to illustrate the effectiveness of the method. The results show that the method provides a straightforward and powerful mathematical tool for solving various nonlinear integro-differential equations

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