BAO Si-yuan, DENG Zi-chen. Variational Iteration Solutions for Fractional FornbergWhitham Equation and Its Modified Equation[J]. Applied Mathematics and Mechanics, 2013, 34(12): 1236-1246. doi: 10.3879/j.issn.1000-0887.2013.12.002
Citation: BAO Si-yuan, DENG Zi-chen. Variational Iteration Solutions for Fractional FornbergWhitham Equation and Its Modified Equation[J]. Applied Mathematics and Mechanics, 2013, 34(12): 1236-1246. doi: 10.3879/j.issn.1000-0887.2013.12.002

Variational Iteration Solutions for Fractional FornbergWhitham Equation and Its Modified Equation

doi: 10.3879/j.issn.1000-0887.2013.12.002
Funds:  The National Natural Science Foundation of China(11202146)
  • Received Date: 2013-08-27
  • Rev Recd Date: 2013-10-30
  • Publish Date: 2013-12-16
  • The solutions to the fractional FornbergWhitham (FFW) equation and the modified FFW equation generated by change of one nonlinear term uux with u2ux were presented. The fractional variational iteration method (FVIM) was used, in which the Lagrange multiplier was determined with the variational function and the Laplace transformation. Two cases were discussed respectively for the FFW equation because the order of time differentiation was determined through comparison of the two derivatives’orders in the fractional differential equation. Finally, two numerical examples of the FVIM solution were given. The computational results demonstrate the high efficiency of the presented method.
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