2013
DOI: 10.1155/2013/160681
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Nonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform

Abstract: We solve the system of nonlinear fractional Jaulent-Miodek and Whitham-Broer-Kaup equations via the Sumudu transform homotopy method (STHPM). The method is easy to apply, accurate, and reliable.

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Cited by 32 publications
(26 citation statements)
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“…In early 90's, Watugala [2] introduced a new integral transform named the Sumudu transform and applied it to solve ordinary differential equations in engineering control problems. The Sumudu transform is defined over the set of functions:…”
Section: Sumudu Transform and The Mittag-leffler Functionmentioning
confidence: 99%
“…In early 90's, Watugala [2] introduced a new integral transform named the Sumudu transform and applied it to solve ordinary differential equations in engineering control problems. The Sumudu transform is defined over the set of functions:…”
Section: Sumudu Transform and The Mittag-leffler Functionmentioning
confidence: 99%
“…Method. We illustrate the basic idea of this method[34][35][36][37][38][39][40][41], by considering a general fractional nonlinear nonhomogeneous partial differential equation with the initial condition of the form ( , ) = ( ( , ))+ ( ( , ))+ ( , ) ,…”
mentioning
confidence: 99%
“…Consider the problem (1). Divide the interval [ 0 , ] into a set of grid points such that = 0 + ℎ, = 0, 1, .…”
Section: The Beizer Curves Methodsmentioning
confidence: 99%
“…Recently, there has been much attention devoted to the search for reliable and more efficient solution methods for equations modelling physical phenomena in various fields of engineering (see [1,2]). One of the methods which has received much concern is the Adomian decomposition method (ADM) (see [3,4]).…”
Section: Introductionmentioning
confidence: 99%