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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 |
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| Cite this article: |
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ZHANG Shun-Li, LI Ji-Na 2007 Chin. Phys. Lett. 24 1433-1436 |
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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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02.30.Jr
02.20.Sv
04.20.Ex
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Received: 26 February 2007
Published: 17 May 2007
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| PACS: |
02.30.Jr
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(Partial differential equations)
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02.20.Sv
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(Lie algebras of Lie groups)
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04.20.Ex
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(Initial value problem, existence and uniqueness of solutions)
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