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- W2029389467 abstract "Abstract In this paper we study analytically a class of waves in the variant of the classical second-order approximation Boussinesq system given by ∂ t u − b ∂ x x t u + c ∂ x x x x t u = − ∂ x v − ∂ x ( u v ) − ( 1 3 − 2 b ) ∂ x x x v + b ∂ x x x ( u v ) + b ∂ x ( u ∂ x x v ) − a ∂ x x x x x v , ∂ t v − b ∂ x x t v + c ∂ x x x x t v = − ∂ x u + 1 2 ∂ x x x u − v ∂ x v − ∂ x ( u ∂ x x u ) + b ∂ x ( v ∂ x x v ) − d ∂ x x x x x u , where a , b , c , d are some real constants. This equation is ill-posed and most initial conditions do not lead to solutions. Nevertheless, we show that, for almost every a , b , c and d it admits solutions that are quasiperiodic in time." @default.
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- W2029389467 date "2008-12-01" @default.
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- W2029389467 title "Existence of quasiperiodic solutions for the second-order approximation Boussinesq system" @default.
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- W2029389467 doi "https://doi.org/10.1016/j.na.2007.10.009" @default.
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