The Cauchy problem for a tenth-order thin film equation II. Oscillatory source-type and fundamental similarity solutions

V. A. Galaktionov, J. D. Evans, P. Álvarez-Caudevilla
2014 Discrete and Continuous Dynamical Systems. Series A  
Fundamental global similarity solutions of the standard form u γ (x, t) = t −αγ f γ (y), with the rescaled variable y = x t β γ , β γ = 1−nαγ 10 ,
doi:10.3934/dcds.2015.35.807 fatcat:5qbpt6lgzfguxasylnirzk2jmu