Initial boundary value problem for generalized logarithmic improved Boussinesq equation
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4255
Abstract: In this paper, we consider the initial boundary value problem for generalized logarithmic improved Boussinesq equation. By using the Galerkin method, logarithmic Sobolev inequality, logarithmic Gronwall inequality, and compactness theorem, we show the existence of… read more here.
Keywords: improved boussinesq; generalized logarithmic; boussinesq equation; problem ... See more keywords
Blow-up for Generalized Boussinesq Equation with Double Damping Terms
Sign Up to like & getrecommendations! Published in 2020 at "Mediterranean Journal of Mathematics"
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
Families of exact solutions of a new extended $$\varvec{(2+1)}$$(2+1)-dimensional Boussinesq equation
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-4033-9
Abstract: A new variant of the $$(2+1)$$(2+1)-dimensional [$$(2+1)d$$(2+1)d] Boussinesq equation was recently introduced by Zhu [Line soliton and rational solutions to (2+1)-dimensional Boussinesq equation by Dbar problem, 2017. arXiv:1704.02779v2; see eq. (3)]. First, we derive in this… read more here.
Keywords: rational solutions; dimensional boussinesq; soliton; boussinesq equation ... See more keywords
General high-order breathers, lumps in the $$\mathbf (2+1) $$(2+1)-dimensional Boussinesq equation
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4181-6
Abstract: Under investigation in this work is a generalized $$(2 + 1)$$(2+1)-dimensional Boussinesq equation. By employing the Bell’s polynomials, bilinear formalism of this generalized $$(2+1)$$(2+1)-dimensional Boussinesq equation is succinctly derived. With the aid of the obtained… read more here.
Keywords: boussinesq equation; high order; dimensional boussinesq;
On nonautonomous complex wave solutions described by the coupled Schrödinger–Boussinesq equation with variable-coefficients
Sign Up to like & getrecommendations! Published in 2018 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-018-1346-y
Abstract: This paper investigates the coupled Schrödinger–Boussinesq equation with variable-coefficients using the unified method. New nonautonomous complex wave solutions are obtained and classified into two categories, namely polynomial function and rational function solutions. For the polynomial… read more here.
Keywords: wave solutions; wave; boussinesq equation; dinger boussinesq ... See more keywords
Bäcklund Transformations, Nonlocal Symmetries and Soliton–Cnoidal Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation
Sign Up to like & getrecommendations! Published in 2020 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-018-0668-z
Abstract: Under investigation in this paper are the nonlocal symmetries and consistent Riccati expansion integrability of the (2 + 1)-dimensional Boussinesq equation, which can be used to describe the propagation of long waves in shallow water. By constructing… read more here.
Keywords: dimensional boussinesq; interaction solutions; boussinesq equation; soliton cnoidal ... See more keywords
Well-posedness of the “good” Boussinesq equation in analytic Gevrey spaces and time regularity
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.04.001
Abstract: Abstract The Cauchy problem for the “good” Boussinesq equation with data in analytic Gevrey spaces on the line and the circle is considered and its local well-posedness in these spaces is proved. The proof is… read more here.
Keywords: analytic gevrey; boussinesq equation; regularity; equation ... See more keywords
Inviscid limit for the damped Boussinesq equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.05.037
Abstract: Abstract In this paper, we consider the limit behavior of solutions to the Cauchy problem for damped Boussinesq equation in the regime of small viscosity in R n . It is shown that the strong… read more here.
Keywords: limit damped; boussinesq equation; damped boussinesq; equation ... See more keywords
Adequate soliton solutions to the perturbed Boussinesq equation and the KdV-Caudrey-Dodd-Gibbon equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2020.06.014
Abstract: Abstract The perturbed Boussinesq equation and the KdV-Caudrey-Dodd-Gibbon equation describe the characteristics of longitudinal waves in bars, long water waves, plasma waves, quantum mechanics, acoustic waves, nonlinear optics etc. Thus, the mentioned equations are clearly… read more here.
Keywords: soliton; boussinesq equation; soliton solutions; equation ... See more keywords
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;
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