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Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation
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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 ofun+1(x,t)which is converged tou(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 approximationu0(x,t). Finally, after giving the perturbation item, the approximate solution for original equation will be expressed specifically.
Title: Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation
Description:
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 ofun+1(x,t)which is converged tou(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 approximationu0(x,t).
Finally, after giving the perturbation item, the approximate solution for original equation will be expressed specifically.
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