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Variational Iteration Method for Solving the Generalized Degasperis‐Procesi Equation

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  • Qian Lijuan
  • Tian Lixin
  • Ma Kaiping

Abstract

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 un+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 u0(x, t). Finally, after giving the perturbation item, the approximate solution for original equation will be expressed specifically.

Suggested Citation

  • Qian Lijuan & Tian Lixin & Ma Kaiping, 2014. "Variational Iteration Method for Solving the Generalized Degasperis‐Procesi Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:629434
    DOI: 10.1155/2014/629434
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    1. Michael J. McPhaden & Dongxiao Zhang, 2002. "Slowdown of the meridional overturning circulation in the upper Pacific Ocean," Nature, Nature, vol. 415(6872), pages 603-608, February.
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