We introduce the variational iteration method for solving the generalized Degasperis-Procesi equation. Firstly, according to the variational iteration, the Lagrange multiplier is found after making the correction functional. Furthermore, several approximations of which is converged to are obtained, and the exact solutions of Degasperis-Procesi equation will be obtained by using the traditional variational iteration method with a suitable initial approximation . Finally, after giving the perturbation item, the approximate solution for original equation will be expressed specifically.
"Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation." Abstr. Appl. Anal. 2014 (SI21) 1 - 6, 2014. https://doi.org/10.1155/2014/629434