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Approximate Symmetry Reduction for Initial-value Problems of the Extended KdV-Burgers Equations with Perturbation

  • 1Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi'an 710069

  • 2Center of Nonlinear Science, Ningbo University, Ningbo 315211

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  • Received Date: May 30, 2010
  • Published Date: February 28, 2011
    Abstract
  • Approximate generalized conditional symmetry is developed to study the approximate symmetry reduction for initial-value problems of the extended KdV-Burgers equations with perturbation. These equations can be reduced to initial-value problems for some systems of first-order perturbed ordinary differential equations in terms of a new approach. Complete classification theorems are obtained and an example is taken to show the main reduction procedure.
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    • References (14)
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