Variational iteration method for coupled nonlinear Schrödinger equations

In this paper, we apply the variational iteration method proposed by Ji-Huan He to simulate numerically a system of two coupled nonlinear one-dimensional Schrodinger equations subjected initially to a prescribed periodic wave solution. Test examples are given to demonstrate the accuracy and capability of the method with different wave-wave interaction coefficients. The accuracy of the method is verified by ensuring that the energy conservation remains almost constant. The numerical results obtained with a minimum amount of computation show that the variational iteration method is much easier, more convenient and efficient for solving nonlinear partial differential equations.

• Publication year

  2007

• Venue

  Computers and Mathematics with Applications

• Publication date

  2007-10-01

• Fields of study

  Mathematics, Physics, Computer Science

• Identifiers
  DOI 10.1016/j.camwa.2006.12.068
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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