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Painlevé analysis of
generalized Zakharov equations
Hassan A. Zedan and Salma M. Al-Tuwairqi |
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Vol. 247 (2010), No. 2, 497–510
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Abstract |
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We consider the invariance and integrability properties of the generalized Zakharov equations and obtain an exact invariant solution. We derive the Painlevé property of these equations and obtain some exact solutions using the truncated Painlevé expansion. |
Keywords
generalized Zakharov equations, Lie symmetries, Painlevé
expansion
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Mathematical Subject Classification 2000
Primary: 35Q51
Secondary: 35K05
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Milestones
Received: 23 June 2009
Revised: 10 January 2010
Accepted: 16 January 2010
Published: 11 August 2010
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Authors |
| Hassan A. Zedan | |
| Mathematics Department Kafr El-Sheikh University Kafr El-Sheikh Egypt |
Mathematics Department King Abdul Aziz University PO Box 80203 Jeddah 21589 Saudi Arabia |
| Salma M. Al-Tuwairqi | |
| Mathematics Department King Abdulaziz University Jeddah 21589 Saudi Arabia |
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