TRAVELING WAVE SOLUTIONS OF SEVENTH-ORDER GENERALIZED KdV EQUATIONS BY VARIATIONAL ITERATION METHOD USING ADOMIAN'S POLYNOMIALS
2009 ◽
Vol 23
(15)
◽
pp. 3265-3277
◽
Keyword(s):
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.
2011 ◽
Vol 12
(3)
◽
pp. 107-113
◽
Keyword(s):
2021 ◽
Vol 67
(5)
◽
pp. 113-125
2010 ◽
Vol 65
(6-7)
◽
pp. 525-528
◽
2009 ◽
Vol 06
(04)
◽
pp. 521-555
◽
2008 ◽
Vol 38
(4)
◽
pp. 1225-1228
◽
2010 ◽
Vol 65
(4)
◽
pp. 277-284
◽
2011 ◽
Vol 27
(4)
◽
pp. 887-897
◽
2012 ◽
Vol 2
(1)
◽
pp. 37-40
◽