Blow-up for Generalized Boussinesq Equation with Double Damping Terms
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DOI: 10.1007/s00009-020-01604-5
Abstract: In this paper, we consider the Cauchy problem for a generalized Boussinesq equation with double damping terms. By using improved convexity method combined with potential well method and Fourier transform, we show the finite time… read more here.
Keywords: equation double; double damping; generalized boussinesq; boussinesq equation ... See more keywords
Non blowup of a generalized Boussinesq–Burgers system with nonlinear dispersion relation and large data
Sign Up to like & getrecommendations! Published in 2019 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2018.12.006
Abstract: Abstract We study the qualitative behavior of classical solutions to the Cauchy problem of a generalized Boussinesq–Burgers system in one space dimension. Assuming initial data belong to H 2 ( R ) and utilizing energy… read more here.
Keywords: non blowup; burgers system; generalized boussinesq; boussinesq burgers ... See more keywords
Dynamical analysis of lump solutions for (3 + 1) dimensional generalized KP–Boussinesq equation and Its dimensionally reduced equations
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DOI: 10.1088/1402-4896/aac8b8
Abstract: This paper analyzes a new form of the (3 + 1) dimensional generalized Kadomtsev–Petviashvili (KP)–Boussinesq equation for exploring lump solutions by making use of its Hirota bilinear form. The sufficient and necessary conditions for assuring… read more here.
Keywords: generalized boussinesq; boussinesq equation; dimensional generalized; dimensionally reduced ... See more keywords
Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy
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DOI: 10.1186/s13661-019-01297-0
Abstract: In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. By using the improved convexity method combined with Fourier transform, we show the finite time blow-up… read more here.
Keywords: sixth order; order multidimensional; generalized boussinesq; boussinesq equation ... See more keywords