The variational iteration method for rational solutions for KdV, K(2,2), Burgers, and cubic Boussinesq equations

By Abdul-Majid Wazwaz. 2007

194 citations recorded by the source corpus.

In this work, the reliable variational iteration method is used to determine rational solutions for the KdV, the K(2,2), the Burgers, and the cubic Boussinesq equations. The study highlights the efficiency of the method and its dependence on the Lagrange multiplier. Rational solutions are obtained directly in a straightforward manner.

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

View Paper: https://www.semanticscholar.org/paper/47a842140f083e8a307b6f1d14a8c69f2a52826a

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. Jalil Manafian
3. Abbas Saadatmandi
4. Ali H. Bhrawy
5. Mehrdad Lakestani
6. S. Yousefi
7. Ali Lotfi
8. Yadollah Ordokhani

In Numerical Analysis

1. Mehdi Dehghan
2. Abbas Saadatmandi
3. Jalil Manafian
4. Mehrdad Lakestani
5. Ali H. Bhrawy
6. S. Yousefi
7. Ali Lotfi
8. Ali Shokri

In Statistical and Nonlinear Physics

1. Mehdi Dehghan
2. Jalil Manafian
3. Abbas Saadatmandi
4. Mehrdad Lakestani
5. Marwan Alquran
6. Ali Shokri
7. S. Yousefi
8. Ali Lotfi

Citations in the corpus

• The Extended Trial Equation Method for Some Time Fractional Differential Equations (2013, unknown): “Many authors have studied to find the exact solutions of this equation by using a variety of methods [27, 28].”
• Solving nonlinear fractional partial differential equations using the homotopy analysis method (2010, methodology): “The Fractional KdV Equation We first consider the fractional KdV equation [23, 76]”