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

摘要

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.