Initial-value Problems for Extended KdV--Burgers Equations via Generalized Conditional Symmetries
ZHANG Shun-Li 1,2, LI Ji-Na1
1Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi'an 7100692Center of Nonlinear Science, Ningbo University, Ningbo 315211
Initial-value Problems for Extended KdV--Burgers Equations via Generalized Conditional Symmetries
ZHANG Shun-Li 1,2;LI Ji-Na1
1Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi'an 7100692Center of Nonlinear Science, Ningbo University, Ningbo 315211
摘要We classify initial-value problems for extended KdV--Burgers equations via generalized conditional symmetries. These equations can be reduced to Cauchy problems for some systems of first-order ordinary differential equations. The obtained reductions cannot bederived within the framework of the standard Lie approach.
Abstract：We classify initial-value problems for extended KdV--Burgers equations via generalized conditional symmetries. These equations can be reduced to Cauchy problems for some systems of first-order ordinary differential equations. The obtained reductions cannot bederived within the framework of the standard Lie approach.
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2007, Vol. 24 
