The Homotopy Perturbation Method for Solving the Modified Korteweg-de Vries Equation
2008 ◽
Vol 63
(10-11)
◽
pp. 621-626
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Keyword(s):
The homotopy perturbation method (HPM) is employed successfully for solving the modified Korteweg-de Vries equation. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not need linearization, weak nonlinearity assumptions or perturbation theory. The results show applicability, accuracy and efficiency of the HPM in solving nonlinear differential equations. It is predicted that the HPM can be widely applied in science and engineering problems.
2009 ◽
Vol 25
(12)
◽
pp. 1127-1136
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Keyword(s):
2009 ◽
Vol 9
(19)
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pp. 3587-3592
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Keyword(s):
2014 ◽
2012 ◽
Vol 55
(3-4)
◽
pp. 1471-1477
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2009 ◽
Vol 64
(12)
◽
pp. 788-794
◽
2009 ◽
Vol 23
(30)
◽
pp. 3667-3675
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