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The variational iteration method for rational solutions for KdV, $$K(2,2)$$, Burgers, and cubic Boussinesq equations. (English) Zbl 1119.65102
Summary: The reliable variational iteration method is used to determine rational solutions for the Korteweg-de Vries (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.

##### MSC:
 65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs 35Q53 KdV equations (Korteweg-de Vries equations)
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