Abstract
According to the analysis of the lubrication theory, the surface wave will develop in the region of low Reynolds number, and the presence of an odd viscosity. Fourth order nonlinear wave equations (generalized Kuramoto-Sivashinsky equation) that appear in the theory of thin liquid films are introduced. Analyses of linear stability for sinusoidal waves in various regimes are investigated. The Hopf bifurcation points for the traveling waves are investigated. Surface wave stability will arise more quickly if an odd viscosity is present.
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