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Painlevé analysis of generalized Zakharov equations. (English) Zbl 1200.35245

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.

MSC:

35Q51 Soliton equations
35K05 Heat equation
35C08 Soliton solutions
37K05 Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010)
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