Construction of solitary solution and compacton-like solution by variational iteration method

By Ji-Huan He, Xu-Hong Wu. 2006

752 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/838ae44da249bb51fadbec96ca03e01f71111878

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. Mehdi Dehghan
2. Ji-Huan He
3. Syed Tauseef Mohyud-Din
4. Muhammad Aslam Noor
5. D. Domiri Ganji
6. Saeid Abbasbandy
7. Zaid M. Odibat
8. Xu-Hong Wu

In Numerical Analysis

1. Mehdi Dehghan
2. Ji-Huan He
3. Syed Tauseef Mohyud-Din
4. Muhammad Aslam Noor
5. Zaid M. Odibat
6. Elyas Shivanian
7. Xu-Hong Wu
8. Saeid Abbasbandy

In Statistical and Nonlinear Physics

1. Ji-Huan He
2. Syed Tauseef Mohyud-Din
3. Muhammad Aslam Noor
4. D. Domiri Ganji
5. Mehdi Dehghan
6. Elyas Shivanian
7. Zaid M. Odibat
8. Saeid Abbasbandy

Citations in the corpus

• Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem (2008, methodology): “The variational iteration technique is employed to solve the nonlinear dispersive equation, a nonlinear partial differential equation which arise in the process of understanding the role of nonlinear dispersion and in the forming of structures like liquid drops and exhibits compactons [22].”
• AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER (2008, methodology): “The decomposition method [20-28] and the variational iteration method [29-45] are relatively new approaches to provide an analytical approximate solution to linear”
• Exp-function method for nonlinear wave equations (2006, neutral): “In order to illustrate the basic idea of the suggested method, we consider first the following nonlinear dispersive equation of the form [13,25–27]: ut þ uux þ uxxx 1⁄4 0.”
• Variational iteration method—Some recent results and new interpretations (2007, neutral): “Introduction The variational iteration method [8–11,15] has been extensively worked out over a number of years by numerous authors.”
• Variational Iteration Method for Solving Higher-order Nonlinear Boundary Value Problems Using He's Polynomials (2008, methodology): “The principles of variational iteration method and its applicability for various kinds of differential equations are given in [16-21].”
• Variational iteration method: New development and applications (2007, methodology): “If more unknown parameters in the initial solution, we can use the following relationship [7]: un(x, t) = un+1(x, t), (6) and ∂k ∂tk un(x, t) = ∂k ∂tk un+1(x, t).”