Low regularity solutions of non-homogeneous boundary value problems of a higher order Boussinesq equation in a quarter plane
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124406
Abstract: Abstract In this article, we study an initial-boundary-value problem of the sixth order Boussinesq equation on a half line with nonhomogeneous boundary conditions: { u t t − u x x + β u x… read more here.
Keywords: boussinesq equation; boundary value; order boussinesq;
Existence and uniqueness of solutions to initial boundary value problem for the higher order Boussinesq equation
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2018.11.012
Abstract: Abstract This paper studies the initial and boundary value problem for the higher order Boussinesq equation. The existence of a local and global solution are proved. The sufficient conditions for finite time blow-up solutions are… read more here.
Keywords: value problem; initial boundary; order boussinesq; boundary value ... See more keywords
Wellposedness of the sixth order Boussinesq equation with non-homogeneous boundary values on a bounded domain
Sign Up to like & getrecommendations! Published in 2019 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2018.09.006
Abstract: Abstract This article is concerned with an initial–boundary-value problem (IBVP) for the sixth order Boussinesq equation on a bounded domain with non-homogeneous boundary conditions, (1) u t t − u x x + β u… read more here.
Keywords: sixth order; non homogeneous; bounded domain; boussinesq equation ... See more keywords
Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation
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DOI: 10.1155/2021/6687632
Abstract: The Painleve integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable transformation. The soliton molecule… read more here.
Keywords: order boussinesq; boussinesq equation; soliton; higher order ... See more keywords