Zedan, Hassan A.; Al-Tuwairqi, Salma M. Painlevé analysis of generalized Zakharov equations. (English) Zbl 1200.35245 Pac. J. Math. 247, No. 2, 497-510 (2010). Summary: 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. Cited in 4 Documents MSC: 35Q51 Soliton equations 35K05 Heat equation 35C08 Soliton solutions 37K05 Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010) Keywords:generalized Zakharov equations; Lie symmetries; Painlevé expansion PDFBibTeX XMLCite \textit{H. A. Zedan} and \textit{S. M. Al-Tuwairqi}, Pac. J. Math. 247, No. 2, 497--510 (2010; Zbl 1200.35245) Full Text: DOI