Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation

Abstract EN

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 u n + 1 ( x , t ) which is converged to u ( x , t ) 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 u 0 ( x , t ) .

Finally, after giving the perturbation item, the approximate solution for original equation will be expressed specifically.