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Zbl 0972.76546
Porubov, Alexey V.
Periodical solution to the nonlinear dissipative equation for surface waves in a convecting liquid layer. (English)
[J] Phys. Lett., A 221, No.6, 391-394 (1996). ISSN 0375-9601

Summary: An exact general periodical solution in terms of the Weierstrass elliptic function is obtained to the nonlinear dissipative ODE governing free surface travelling waves on a viscous convecting liquid layer. This solution may describe, in particular, the bounded periodical wave only in the presence of a nonlinear dissipative term in the equation studied.
MSC 2000:
*76R05 Forced convection
76D33 Waves in incompressible viscous fluids

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