Variational iteration method for solving the generalized Degasperis-Procesi equation (Q1724599)

Summary: 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.