Approximate Symmetry Reduction for Initial-value Problems of the Extended KdV-Burgers Equations with Perturbation
LI Ji-Na1, ZHANG Shun-Li1,2**
1Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi'an 710069 2Center of Nonlinear Science, Ningbo University, Ningbo 315211
Approximate Symmetry Reduction for Initial-value Problems of the Extended KdV-Burgers Equations with Perturbation
LI Ji-Na1, ZHANG Shun-Li1,2**
1Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi'an 710069 2Center of Nonlinear Science, Ningbo University, Ningbo 315211
摘要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.
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.
LI Ji-Na;ZHANG Shun-Li;**
. Approximate Symmetry Reduction for Initial-value Problems of the Extended KdV-Burgers Equations with Perturbation[J]. 中国物理快报, 2011, 28(3): 30201-030201.
LI Ji-Na, ZHANG Shun-Li, **
. Approximate Symmetry Reduction for Initial-value Problems of the Extended KdV-Burgers Equations with Perturbation. Chin. Phys. Lett., 2011, 28(3): 30201-030201.
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